{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Structuring for Uncertainty\n",
    "### Summary \n",
    "\n",
    "In this notebook, I team up with FX Structurer Lennart Scholte to analyze a strategy for hedging against FX moves when planning for uncertain investments denominated in a foreign currency. As an example, we consider a US company looking to invest into a European subsidiary: the deal may not be certain - as it is pending various approvals - but the company may be looking to lock-in the current market levels especially given the trend of USD depreciating against the EUR. We consider a net zero premium strategy of entering into an option that is restructured into a forward once the deal gets approved and explore the economics under various potential future spot and vol scenarios.\n",
    "\n",
    "The content of this notebook is split into:\n",
    "* [1 - Let's get started with gs quant](#1---Let's-get-started-with-gs-quant)\n",
    "* [2 - Spot and vol trends](#2---Spot-and-vol-trends)\n",
    "* [3 - Options](#3---Options)\n",
    "* [4 - Potential future scenarios](#4---Potential-future-scenarios)\n",
    "* [5 - Restructuring into a Forward](#5---Restructuring-into-a-Forward)\n",
    "* [What's New](#What's-New)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1 - Let's get started with gs quant\n",
    "Start every session with authenticating with your unique client id and secret. If you don't have a registered app, create one [here](https://marquee.gs.com/s/developer/myapps/register). `run_analytics` scope is required for the functionality covered in this example. Below produced using gs-quant version 0.8.207."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from gs_quant.session import GsSession\n",
    "GsSession.use(client_id=None, client_secret=None, scopes=('run_analytics', 'read_product_data')) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2 - Spot and vol trends\n",
    "\n",
    "Let's start by looking at spot and vol levels in the context of recent history. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from dateutil.relativedelta import relativedelta\n",
    "from gs_quant.datetime import business_day_offset\n",
    "from gs_quant.data import Dataset\n",
    "from datetime import date\n",
    "\n",
    "date_end = business_day_offset(date.today(), -1, roll='forward')\n",
    "date_start = business_day_offset(date_end - relativedelta(years=2), -1, roll='forward')\n",
    "\n",
    "pair, term = 'EURUSD', '1y'\n",
    "fx_eurusd = Dataset('FXSPOT_STANDARD').get_data(date_start, date_end, name=pair, fields=('spot',))[['spot']].spot\n",
    "vol_eurusd = Dataset('FXIMPLIEDVOL_STANDARD').get_data(date_start, date_end, name=pair, tenor=term, deltaStrike='ATMS')[['impliedVolatility']].impliedVolatility * 100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(15, 5))\n",
    "\n",
    "fx_eurusd.plot(title='EURUSD Spot', ax=axes[0])\n",
    "vol_eurusd.plot(title='EURUSD 1y Implied Volatility', ax=axes[1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can see in the left hand chart, USD has depreciated significantly against EUR year-to-date. Implied 1y volatility, on the other hand, has recently come down (although it's still rich compared to the beginning of the year). This means looking at options may be attractive to hedge against the dollar weakening further."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3 - Options\n",
    "\n",
    "Assuming the company has a budget of 1.2 USD/EUR, let's look at how much a 1.2 call costs and how it compares to the equivalent historically."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "spot vs budget: -1.49%\n"
     ]
    }
   ],
   "source": [
    "from gs_quant.instrument import FXOption\n",
    "\n",
    "budget = 1.2\n",
    "call_option = FXOption(pair='EURUSD', expiration_date=term, option_type='Call', strike_price='s', \n",
    "                       premium_payment_date=term, premium_currency='USD').resolve(in_place=False)\n",
    "print('spot vs budget: {:,.2%}'.format((call_option.strike_price / budget) - 1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can see above, at current market levels, the 1.20 strike for a 1Y EURUSD Call option is ~1.5% out-of-the-money spot.\n",
    "\n",
    "Let's look at how the cost of trading a 1.5% OTMS spot call option compares to history. Note we are not calling `resolve()` on our `call_option` here which means it will re-strike to a new 1.5% OTMS option every day of the `HistoricalPricingContext`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "from gs_quant.markets import HistoricalPricingContext, PricingContext\n",
    "from gs_quant.risk import DollarPrice, FXSpot\n",
    "import pandas as pd\n",
    "\n",
    "call_option = FXOption(pair='EURUSD', expiration_date=term, option_type='Call', strike_price='1.015*S', \n",
    "                       notional_amount=100e6, premium_payment_date=term, premium_currency='USD')\n",
    "\n",
    "with HistoricalPricingContext(start=date_start, end=date_end, market_data_location='NYC'):\n",
    "    inst = call_option.resolve(in_place=False)\n",
    "    risks = call_option.calc((DollarPrice, FXSpot))\n",
    "\n",
    "call_info = pd.DataFrame({d: i.as_dict() for d, i in inst.result().items()}).T\n",
    "call_info['spot'] = risks[FXSpot]\n",
    "call_info['premium usd %'] = -call_info.premium/call_info.notional_amount_other_currency * 100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(15, 5))\n",
    "call_info['premium usd %'].plot(title='Option Premium of 1.5% OTMS EURUSD 1Y Call (% of USD Notional)', ax=axes[0])\n",
    "call_info[['strike_price', 'spot']].plot(title='EURUSD Spot and Strike Price', ax=axes[1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can see in the left chart, premium as a percentage of notional for a 1.5% OTMS call is relative lows compared to the last 2 years. \n",
    "\n",
    "Let's take this a step further and look at a quick grid across different strikes and tenors to better understand the sensitivity of the premium to different pricing parameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from gs_quant.markets.portfolio import Portfolio\n",
    "import numpy as np\n",
    "\n",
    "tenors = ['6m', '9m', '12m', '15m']\n",
    "strikes = np.arange(1.17, 1.25, 0.01)\n",
    "\n",
    "fxos = Portfolio([Portfolio([FXOption(pair='EURUSD', expiration_date=t, option_type='Call', strike_price=k, \n",
    "                                      notional_amount=100e6, premium_payment_date=t, premium_currency='USD') for t in tenors]) for k in strikes])\n",
    "fxos.resolve()\n",
    "call_grid = pd.DataFrame([[-i.premium / i.notional_amount_other_currency for i in p.priceables] for p in fxos.priceables], index=strikes, columns=tenors)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "fig, ax = plt.subplots(figsize=(15, 4))\n",
    "ax = sns.heatmap(call_grid.apply(pd.to_numeric).T, annot=True, fmt=',.2%', cmap='Blues')\n",
    "ax.set(ylabel='Tenor', xlabel='EURUSD Strike Prices', title='Premium of EURUSD Call Options (% of USD Notional)')\n",
    "ax.xaxis.tick_top()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4 - Potential future scenarios\n",
    "\n",
    "As the company gets certainty about moving forward with the project, it might look to restructure the call option above into a forward to secure a rate.\n",
    "\n",
    "To get a better sense of the economics of a possible restructuring, let's look at how the option carries and how the mark-to-market may vary with various possible levels of FX spot and implied vol.\n",
    "\n",
    "Let's start with the static decay of the option over time: we can use `CarryScenario` to roll forward in time assuming that all market parameters, including the FX spot, remain constant (`roll_to_fwds=False` means roll to spot)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "from gs_quant.risk import CarryScenario\n",
    "\n",
    "# we set premium to 0 s.t. day-1 MtM is equal to the premium (as opposed to zero)\n",
    "call_option = FXOption(pair=pair, expiration_date=term, option_type='Call', strike_price=budget, \n",
    "                       notional_amount=100e6, premium_payment_date=term, premium_currency='USD', premium=0).resolve(in_place=False)\n",
    "\n",
    "future_dates = pd.bdate_range(date_end, call_option.expiration_date, freq='W').date.tolist()\n",
    "roll_to_spot = {}\n",
    "with PricingContext(is_batch=True, market_data_location='NYC'):\n",
    "    for d in future_dates:\n",
    "        with CarryScenario(date=d, roll_to_fwds=False):\n",
    "            roll_to_spot[d] = call_option.dollar_price()\n",
    "            \n",
    "static_roll = pd.Series({d: p.result() for d, p in roll_to_spot.items()})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(15, 5))\n",
    "static_roll.plot(title='Call Option Price (in USDm) Forward in Time', ax=axes[0])\n",
    "axes[0].axhline(y=0, linestyle='-', lw=0.75, color='black')\n",
    "(static_roll/static_roll.iloc[0]).plot(title='As % of Initial Premium Paid', ax=axes[1])\n",
    "axes[1].axhline(y=0, linestyle='-', lw=0.75, color='black')\n",
    "axes[1].axhline(y=.5, linestyle='--', lw=0.75, color='red')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can see above, in about 7m from now, the time value of the option is still about 50% of the deferred premium payable, which can therefore be recouped when restructuring it into a forward.\n",
    "\n",
    "Let's now see how the option may behave with different levels of spot and implied volatility over time by adding spot and vol shocks on top of the above `CarryScenario`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "tenors = ['1b', '3m', '6m', '9m', '1y']\n",
    "vol_bumps = np.arange(-5, 7.5, 2.5) / 100\n",
    "spot_range = np.arange(1.10, 1.27, 0.01)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "from gs_quant.risk import MarketDataPattern, MarketDataShock, MarketDataShockBasedScenario,MarketDataShockType\n",
    "from collections import defaultdict\n",
    "call_res = defaultdict(lambda: defaultdict(dict))\n",
    "\n",
    "with PricingContext(market_data_location='NYC', is_batch=True):\n",
    "    for t in tenors:\n",
    "        for s in spot_range:\n",
    "            for v in vol_bumps:\n",
    "                scenario = MarketDataShockBasedScenario(\n",
    "                    shocks = {MarketDataPattern('FX', 'USD/EUR'): MarketDataShock(MarketDataShockType.Override, s),\n",
    "                              MarketDataPattern('FX Vol', mkt_asset='USD/EUR', mkt_class='ATM Vol'): MarketDataShock(MarketDataShockType.Absolute, v),\n",
    "                             })\n",
    "                with CarryScenario(date=t, roll_to_fwds=False), scenario:\n",
    "                    price = call_option.dollar_price()\n",
    "                call_res[t][s][v] = price"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:title={'center':'MtM Sensitivity to Spot at Different Points in Time'}>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkkAAAE/CAYAAABSE1d1AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8vihELAAAACXBIWXMAAAsTAAALEwEAmpwYAACKQ0lEQVR4nOzddXSUx9fA8e8Td1fiwQkSIFhxK0UKpe5eSp229K1Rt18dKDXaQl2pQIHSIqW4uwUJgYQkxN1W5v3jWWig0Aaym43czzl7SFZm7m422cvMnRlNKYUQQgghhDiVg70DEEIIIYRoiCRJEkIIIYQ4A0mShBBCCCHOQJIkIYQQQogzkCRJCCGEEOIMJEkSQgghhDgDSZKEqCNN03ZrmjboX27/TdO0m2rRTn9N05KtGZs4u5o/N003W9O0Ak3TNliuu0vTtOOappVqmhZoz1itpb7eY7bqR9O06zRN+8Pa7QpxNpIkCZvRNC1V07RqTdOCTrt+q6ZpStO0WMv3n2qa9uL5PPYMfSZomvaHpmn5mqYVapq2WdO0UdZ9ZqdSSiUopZZb+n9W07QvT7t9pFLqs1q0s1Ip1fbE95bXYNj5xKRpWqzldXI6n8db2nhC07TDliQhXdO07863rdPaPe/nZXn8ck3Tbv+X208891LL5bimafM1TRte8341f25AP2A4EKmU6qlpmjPwFnChUspLKZV3vvGej/96jTRNG6Rpmtny/Eo0TUvWNO2W/2r39PfYf8QwSNO09HOJ+3z6Oa3PJ2r83Co1TTPV+H63UuorpdSF5xOTEOdDkiRha4eBa058o2laJ8DDho/9FVgMhAEhwP1A8TnEKwDLyNcNwDCllBeQBCy1b1TnzM8Sexf098TPmqbdfJb7xgCpSqkyy/ehgBuw+3w61jTN8Xwed44yLM/PB3gU+EjTtA710K/NKKVetiSlXsBEYO2J75VSCfaOTzRDSim5yMUmFyAVmAJsrHHdG8CTgAJigQmAAagGSoFfa/vYM/QXZLnN719iGgNsAwqBNUDn0+KdDOwAioDvALcabc+3PC4fWAk41HjcMOAiy/MwWJ7Ldsvty4HbAVfL4zvW6DMYqEBP6AYB6ZbrvwDMlttKgf8DFgD3nfZ8dgDjz/A8j1pei1LLpQ/6f4qmAEeAbOBzwPcsr9MMYOq/vI7LgVeADehJ6FwgoMbtY9ETjELLfduf7XmdoW1/y2udAxRYvo603PYSYAIqLY+fcYbHx1qeu9Np108Gjp/h53abpT2Tpc1vgLIar98yy/3boSdb+UAycGWNtj8F3gcWWh47DGgB/Gh5HoeB+2vc/1nge8vPoMTyWiWdw2t08r1S47oc4HL099lUIMNymQq4nulxnOU9D3ha+jfz93uoBdAT2GT5mR8H3jrL+6NW/fzH34+bgVX/dp3lZ3Q3cMDyOr4AtET/3S62vMYutfn9l4tcznSxewByabqXGh9CyUB7wBFIR/9f+8lEx/IB8+L5PPa0x2iWP5bzgUuA0NNu74qeHPSytHeTpR/XGn1usHwYBAB7gYmW214BPgCcLZf+gFYzVsvXzwJfntbvcuB2y9ezgJdq3HYPsMjy9Zk+WIbV+P5KYH2N77sAeTU/BGrcFstpiQJwK3AQiAe8gJ+AL87ys7sePRl4BH0UyfEMz+kY0BH9A/XHE88baIOeKAy3vFb/Z+nX5UzP6wx9BwKXoY8aegM/AL+c6fU8y+P/8dwt18dbrm9/ehz888P3lDYszzENuAVwQn8v5QIdaryHi4C+6MmoB7AZeBpwsfSdAoyo8T6pBEahvxdfAdad7Wd/hud48r1i6W88enLeFngeWIeeeAejJwMv/Mt77Gzv+VPua7luLXCD5WsvoPd/xfdf/fzLczzlZ3KWn5NCT9B9gASgCn3EMx7wBfYAN9Xm918ucjnTxWbTbZqmzdI0LVvTtF21vP+VmqbtsRRTfm2ruIRdfAHciP6huRf9w9Xqj1VKKWAw+h++N4FMTdNWaJrW2nKXCcCHSqn1SimT0uuEqoDeNZqZrpTKUErlo0/dJVquNwDhQIxSyqD0movzOfjwa+DqGt9fa7muNuYBbWo8nxuA75RS1bV8/HXo//NPUUqVAo8DV5+pbkkp9SVwHzAC+AvI1jTt0dPu9oVSapfSp6ieAq60TDNdBSxQSi1WShnQRwDdgQtqE6RSKk8p9aNSqlwpVYI+ejSwls/x32RY/g04j8eOQZ+Om62UMiqltqInhlfUuM9cpdRqpZQZ6AQEK6WeV0pVK6VSgI849We/Sim1UCllQn+fdznHmFpomlaInqw9g568JKP/nJ9XSmUrpXKA59DfK2dztvf8mRiAVpqmBSmlSpVS684h3nPp51y8ppQqVkrtBnYBf1je40XAb+jJEdTu91+IU9iyJulT9OmH/2T5o/840Ffp886TbBeWsIMv0JOBm9GnF2z2WKVUulLqXqVUS/RRp7Iaj4sBHrYUdBdaPmCi0P93e0JWja/L0f+3DPA6+mjIH5qmpWia9tg5Po8T/gQ8NE3rZSk+TwR+rs0DlVKV6NMU12ua5oBer/XFOfTdAn2q7YQj6KMioWfp7yul1DDAD70+5AVN00bUuEvaaW05o09LntKPJWlIAyJqE6SmaR6apn2oadoRTdOKgRWAnxXqfE70n38ej40Bep323rkOvfbthLTT7t/itPs/wamv9envNbdzLLTPUEr5KaUClFKJSqlvLdef6efc4p8PP2scXme7I/rUZBtgn6ZpGzVNG3MO8Z5LP+fieI2vK87w/Yl+avP7L8QpbJYkKaVWcNofI03TWmqatsiy4milpmntLDfdAbyrlCqwPDbbVnGJ+qeUOoJekzEKfYrnH3epw2P/rd804F30KSHQP8ResnywnLh4KKW+qUVbJUqph5VS8ej1Ng9pmjb0XJ6LpR0Tep3ENZbLfMtoyRnvfobrPkP/cB4KlCul1p7DYzPQPyhOiAaMnPqhcqaYDUqpH9DrSTrWuCnqtLYM6KMap/SjaZpmue+JUcD/GoF7GH3aqJdSygcYcKKpWj7+bMajT7ecz9L0NOCv0947Xkqpu2rcR512/8On3d9bKVXblZbn+xzhzD/njLPc95xiUEodUEpdgz6V9yowR9M0z/OKsv6d9++/aL7qe3XbTPTC0+7oRXzvWa5vgz6NsFrTtHWaptVqBEo0KrcBQ9Tfq4dqOo5eQ3A+jz1J0zR/TdOe0zStlaZpDpbtA25Fr88AfbpjomUUR9M0zVPTtNGapnn/V/Capo2xtKuh156Y0Itaz/RcYi0jPWfzNfqU1HX8+1TbP14XS1JkRp9O/LdRpBzL/Wo+/hvgQU3T4jRN8wJeRp+uM57+YE3Tbj7x2lhey5HoNR/ra9ztek3TOmia5oFeBzOnRhI4WtO0oZal9A+jT2usOdvzOo03+ghAoaZpAehTSTX91+NPfy6hmqbda2nnccvI1rmaj/436gZN05wtlx6aprU/y/03ACWapj2qaZq7pmmOmqZ11DStRy37O6fneJpvgCmapgVbfgeeBr78j8ecLYZATdN8T1yhadr1mqYFW17DQsvV5/N62sN5//6L5qvekiTLH+ULgB80TdsGfIhe4wH6kH9r9GK/a9CXsvrVV2zC9pRSh5RSm85y8ydAB8sQ+C/n+NiaqtELbpegr2zZhf7hfLOlnU3oo5Yz0FdNHTxxWy20trRbil68+p5S6s8z3O8Hy795mqZtOVNDSqn16NOALdBrJs7mFfQPu0JN0ybXuP5z9JqXs37wKaXK0Wt5Vlse3xu9aPwL9Omrw+iFw/edpYli9Omho+gfhq8BdymlVtW4zxfo0+pZ6Cui7rf0nYxe+P0O+sjSxcDFNWqnzva8TpiKXsOUi57gLjrt9mnA5Zq+8eP0s70G6ElWGbATfSTyCqXUrH+5/1lZRvsuRK8pykB/zq+iryQ70/1N6HVMieivdS7wMXoxcW3812v0b15EX4G2A/25b7Fcd06UUvvQE64USxwt0EsodmuaVor+c7haKVVxrm3bQx1//0UzdWJ1jm0a12su5iulOmqa5gMkK6XCz3C/D9BX7cy2fL8UeEwptdFmwQnRSGmadiMwQSnVz44xLEdfzfaxvWIQQghbq7eRJKVUMXBY07Qr4OQxACdWc/yCPoqEZXi4DfpyWSFEDZaprbvRp66FEELYkC23APgGfVqiraYfaXAbeg3GbZqmbUffPG2c5e6/o09P7EFf/fOIqudjAIRo6DR9ZVkOeq2IbJMhhBA2ZtPpNiGEEEKIxkrObhNCCCGEOANJkoQQQgghzuBcdnettaCgIBUbG2uLpoUQQgghrGrz5s25Sqng06+3SZIUGxvLpk212dZGCCGEEMK+NE07cqbrZbpNCCGEEOIMJEkSQgghhDgDSZKEEEIIIc7AJjVJZ2IwGEhPT6eysrK+urQZNzc3IiMjcXZ2tncoQgghhLCRekuS0tPT8fb2JjY2Fv0g9cZJKUVeXh7p6enExcXZOxwhhBBC2Ei9TbdVVlYSGBjYqBMkAE3TCAwMbBIjYkIIIYQ4u3qtSWrsCdIJTeV5CCGEEOLsmlXh9q233kpISAgdO3Y8ed2gQYNkTychhBBC/EOzSpJuvvlmFi1aZO8whBBCCNEINKskacCAAQQEBPzj+i+++ILExEQ6duzIhg0b7BCZEEIIIWpKLyjn+41pdo2hVqvbNE17ELgdUMBO4BalVJOpXC4vL2fbtm2sWLGCW2+9lV27dtk7JCGEEKLZWnUgl/u+2YJZwfAOofh7utgljv9MkjRNiwDuBzoopSo0TfseuBr49Hw7fe7X3ezJKD7fh59RhxY+PHNxwnk99pprrgH0kabi4mIKCwvx8/OzYnRCCCGE+C9KKWauSOHVRftoFeLFhzck2S1Bgtrvk+QEuGuaZgA8gAzbhVT/Tl+tJqvXhBBCiPpVVmXk/+bsYMHOTEZ3Cue1yzvj6Vpv2zme0X/2rpQ6pmnaG8BRoAL4Qyn1R106Pd8RH1v57rvvGDx4MKtWrcLX1xdfX197hySEEEI0G4dzy7jzi00czC7l8ZHtmDAgvkEMWNRmus0fGAfEAYXAD5qmXa+U+vK0+00AJgBER0dbP1IruOaaa1i+fDm5ublERkby3HPPAfoxI127dsVgMDBr1iw7RymEEEI0H0v3HmfSd9twctD4/NZe9GsdZO+QTqrNONYw4LBSKgdA07SfgAuAU5IkpdRMYCZAUlKSsnKcVvHNN9/847rbbrvNDpEIIYQQzZvZrJi+7ABTlxwgoYUPH1zfnagAD3uHdYraJElHgd6apnmgT7cNBWT3RSGEEEKcl+JKAw99t40le7O5tFsEL4/vhJuzo73D+ofa1CSt1zRtDrAFMAJbsYwYCSGEEEKci/3HS7jzi82k5Zfz3NgEbuwT0yDqj86kVmXjSqlngGdsHIsQQgghmrCFOzOZ/MN2PFyc+PqO3vSM++cGzw2JfdfWCSGEEKLJM5kVr/+ezAd/HaJrtB/vX9edMF83e4f1nyRJEkIIIYTNFJRVc983W1l1MJfrekXz9MUdcHVqePVHZyJJkhBCCCFsYtexIu78YjM5JVW8dllnruwRZe+QzkmzSZIqKysZMGAAVVVVGI1GLr/88pP7JAkhhBDCun7aks7jP+0kwNOFHyb2oUuUn71DOmfNJklydXVl2bJleHl5YTAY6NevHyNHjqR37972Dk0IIYRoMgwmMy8t2Muna1LpHR/AjGu7EeTlau+wzouDvQOoL5qm4eXlBYDBYMBgMKBpGrGxsTz++OMkJiaSlJTEli1bGDFiBC1btuSDDz6wc9RCCCFE45FdUsl1H63n0zWp3NYvji9v69VoEyRoRkkSgMlkIjExkZCQEIYPH06vXr0A/RiVbdu20b9/f26++WbmzJnDunXreOYZ2fVACCGEqI0tRwu4+J1V7DhWyLSrE3lqTAecHOuQZphNkHvQegGeB/tMt/32GGTttG6bYZ1g5P/+9S6Ojo5s27aNwsJCxo8fz65duwAYO3YsAJ06daK0tBRvb2+8vb1xdXWlsLAQPz8/68YqhBBCNCFfrz/KM/N2Eebrxk939aVDC5+6NVhRAHNug4ytcN9m8LDPfkrNpiapJj8/PwYPHsyiRYsAvV4JwMHB4eTXJ743Go12iVEIIYRo6CoNJp6dt5tvN6YxoE0w069OxM/DpW6NZu+Db6+BwjQY/YbdEiSwV5L0HyM+tpCTk4OzszN+fn5UVFSwePFiHn300XqPQwghhGgKMgoruOurLWxPK+Tewa14cHgbHB3qeLzIvgXw0wRw9oCb50O0fRdXNZuapMzMTAYPHkznzp3p0aMHw4cPZ8yYMfYOSwghhGh01qXkcfE7qziUXcoH13dn8oi2dUuQzGZY/ip8ey0EtYYJy+2eIAFoSimrN5qUlKQ2bdp0ynV79+6lffv2Vu/LXpra8xFCCCH+i1KKWatTeXnhXmICPZh5QxKtQrzq1mhVKfwyEfb+Cp2vhoungrO7VeKtLU3TNiulkk6/vlnWJAkhhBDi3FRUm3jspx3M3ZbBhR1CefPKLni7Odet0fwU+PY6yNkHI16B3neBVscpOyuSJEkIIYQQ/+poXjl3frmZfVnFTL6wDXcPaoVDXeuPDv0JP9ysf339T9BycJ3jtDZJkoQQQghxVn/tz+H+b7bqU20392Bw25C6NagUrHsP/pgCwe3g6q8gIN46wVqZJElCCCGE+AelFO8tP8QbfyTTNtSbD2/oTkygZ90aNVTAr5Ngx7fQ/mK45ANwrWNNkw1JkiSEEEKIUxSWVzP5h+0s2ZvN2C4t+N9lnfBwqWPKUHQMvrtO3yBy8JPQfzI4NOxF9pIkCSGEEOKkbWmF3PPVFrJLKnnm4g7cfEEsWl2LqY+uh++uB0M5XP01tBttnWBtrGGncFZWWFjI5ZdfTrt27Wjfvj1r1661d0hCCCFEg6CU4tPVh7nigzUA/DDxAm7pG1f3BGnzp/DpaH1a7fYljSZBgmY2kvTAAw9w0UUXMWfOHKqrqykvL7d3SEIIIYTdlVQaeOzHnSzYmcnQdiG8eWWXuh8vYjLAosdg48fQcghcPgvc/a0TcD1pNiNJRUVFrFixgttuuw0AFxcX/Pz8GDRoEA8++CBJSUm0b9+ejRs3cumll9K6dWumTJli56iFEEII29qTUczF76xi0e4sHh/Zjo9uTKp7glSaA5+P0xOkC+6H6+Y0ugQJmtFI0uHDhwkODuaWW25h+/btdO/enWnTpgF6wrRp0yamTZvGuHHj2Lx5MwEBAbRs2ZIHH3yQwMBAO0cvhBBCWJdSiu82pvHMvN34eTjz7YTe9Ii1wmGymdv1DSLLcuDSj6HzFXVv007+M0nSNK0t8F2Nq+KBp5VSU8+301c3vMq+/H3n+/AzahfQjkd7nv3AWqPRyJYtW3jnnXfo1asXDzzwAP/7n37Q7tixYwHo1KkTCQkJhIeHAxAfH09aWpokSUIIIZqU8mojU37exU9bj9G/dRBvX5VIkJdr3RveOQfm3gsegXDrImjRte5t2tF/TrcppZKVUolKqUSgO1AO/GzrwKwtMjKSyMhIevXqBcDll1/Oli1bAHB11d8YDg4OJ78+8b3RaKz/YIUQQggbOZhdwrgZq/l52zEeHNaGT2/pWfcEyWyCxU/Dj7fpidGE5XVOkPIq8lh8ZHHd4qqjc51uGwocUkodqUun/zbiYythYWFERUWRnJxM27ZtWbp0KR06dGDjxo31HosQQghhD79sPcbjP+3E09WRL2/rRd9WQXVvtKIAfrwdDi6BpNvgov+BU91qmpLzk7lv2X0UVxfTI7QHfm5+dY/zPJxrknQ18I0tAqkP77zzDtdddx3V1dXEx8cze/Zsxo8fb++whBBCCJuqNJh47tc9fLPhKD3jAnjnmq6E+rjVveGcZPjmGig8CmOmQtItdW5yedpyHl3xKF7OXnxy4Sd2S5AANKVU7e6oaS5ABpCglDp+htsnABMAoqOjux85cupg0969e2nfvn2dA24omtrzEUII0TSl5pZx91db2JNZzN2DWvLQ8DY4OVphcXvyb/DjHeDsBld+ATF96tScUorPdn/GW5vfon1ge6YPnk6oZ2jd46wFTdM2K6WSTr/+XEaSRgJbzpQgASilZgIzAZKSkmqXeQkhhBDCZn7bmcn/zdmBg4PGrJuTGNLOCkmHUrDiDfjzJQjvoh9Q6xtZpyarTdW8sO4Ffjn4C8NjhvNSv5dwd3Kve6x1dC5J0jU04qk2IYQQormoNpp55be9zF6dSmKUHzOu7Uqkv0fdG64qhV/ugr3zoPNVcPE0cK5bMpNfmc+Dfz7IluwtTOwykbu63IWD1jC2caxVkqRpmicwHLjTtuEIIYQQoi7SC8q55+utbE8r5Na+cTw2sh0uTlZIOgpS4ZtrIWcvXPgi9LkX6nhkycGCg9y77F5yynN4tf+rjIofVfc4rahWSZJSqgyQzYKEEEKIBmzp3uM89P12zGbF+9d1Y2SncOs0nLIcfrhZn2q7/kf9mJE6Wpm+kkdWPIKboxuzL5pN5+DOdW7T2prNjttCCCFEU2U0mXnjj/188NchElr48N513YgJ9Kx7w0rB+g/g9ychqA1c8zUExNexScWXe7/kjU1v0NqvNTOGziDMM6zusdqAJElCCCFEI3a8uJL7vt7KhtR8ru0VzdNjOuDm7Fj3hg2VsOAh2PYVtBsD4z8AV++6NWky8NL6l/jxwI8MiRrCK/1fwcPZCrVSNtIwKqPqybRp0+jYsSMJCQlMnTrV3uEIIYQQdbLqQC6jpq1kV0YRU69K5OXxnayTIBWkwqwL9QRp0OP6Ev86JkiFlYXcueROfjzwI7d3up23B7/doBMkaEYjSbt27eKjjz5iw4YNuLi4cNFFFzFmzBhatWpl79CEEEKIc2IyK95ZdoBpSw/QOsSL967rRquQuiUxJ+3/HX66Q//6mu+g7UV1bjKlKIX7lt5HZlkmL/d7mYtbXlznNutDsxlJ2rt3L7169cLDwwMnJycGDhzITz/9xKBBg3jwwQdJSkqiffv2bNy4kUsvvZTWrVszZcoUe4cthBBCnCK3tIqbZm1g6pIDjO8awS/39LVOgmQ2wbIX4esrwS8GJvxllQRpTcYarl9wPaWGUmaNmNVoEiRoRiNJHTt25MknnyQvLw93d3cWLlxIUpK+uaaLiwubNm1i2rRpjBs3js2bNxMQEEDLli158MEHCQyUhX1CCCHsb8PhfO77ZguF5QZevawTVyZFodVxGT4AZbn64bQpy6HrDTDq9TrvfwTwzb5veHXDq8T7xTNjyAxaeLWoe6z1yC5JUtbLL1O1d59V23Rt346wJ5446+3t27fn0Ucf5cILL8TT05PExEQcHfV527FjxwLQqVMnEhISCA/Xl0zGx8eTlpYmSZIQQgi7MpsVM1em8PrvyUQHeDD75p50aOFjncbTNsIPN+mJ0th3oNuNdW7SaDbyvw3/47vk7xgYOZBXB7yKp7MVVtvVs2Yz3QZw2223sXnzZlasWIG/vz9t2rQBwNXVFQAHB4eTX5/43mg02iVWIYQQAqCwvJo7Pt/E/37bx0UJYcy7t691EiSlYMNHMHskODjBbX9YJUEqqiririV38V3yd9yScAvTBk9rlAkS2Gkk6d9GfGwpOzubkJAQjh49yk8//cS6dev4/vvv7RKLEEII8V+2pRVyz1dbyC6p5LmxCdzYJ8Y602vVZfDrJNj5PbQeAZd+CO7+dW72SPER7l16L+ml6Tx/wfOMbz2+7rHaUbOpSQK47LLLyMvLw9nZmXfffRc/Pz97hySEEEL8w4nptTd+TybUx405Ey+gS5SfdRrPPQDf3QC5yTDkKej3EDjUfWJpfeZ6Hlr+EA6aAx8N/4iksKQ6tWcuL6cyORmPrl3rHNv50pRSVm80KSlJbdq06ZTr9u7dS/v27a3el700tecjhBCiYcgqquSh77ex5lAeozqF8cr4zvh6OFun8T1z4Zd7wMkFLvsEWg62SrPfJ3/PK+tfIcYnhneGvkOUd1Sd2jPm5ZF2191UHzpEyyWLcfKv+yjXv9E0bbNS6h9ZXbMaSRJCCCEasj92Z/HojzuoNJitu3rNZIAlz8LaGRDZA674FHwj69ys0WzkzU1v8uXeL+kb0ZfXB7yOt0vdtiOoTk3l6IQ7MWZnE/HmGzZPkP6NJElCCCGEnVVUm3hxwR6+Wn+UjhE+TLu6Ky2DvazTeEkW/HALHF0DPe+EC1/UR5Lq2mx1CY+seITVx1ZzffvreTjpYZwc6pZWVGzbRtpddwMQ8+ls3BMT6xxnXUiSJIQQQtjRnoxi7v92KwezS7lzQDwPX9gWFycrLT5PXaUnSNWlcOnH0PkKqzSbVpzGvcvu5WjxUZ7u8zRXtKl7uyVLl3Ls4ck4hYQQPfNDXGJj6x5oHUmSJIQQQtiBUorZq1P532/78PVw5ovbetK/dbC1Goc102HJcxAQBzfNgxDr1NFuytrEg8sfxKzMfDj8Q3qG96xzm/lffcXxl17GrWNHot5/D6cGsj+hJElCCCFEPcstrWLyD9tZnpzD0HYhvHZ5ZwK9XP/7gbVRWQS/3A375kOHcTB2BrhZZ+PJnw/8zPPrnifSK5IZQ2cQ4xNTp/aU2UzO22+T99HHeA0eTMSbb+Dg0XAOvZUkSQghhKhHy5OzmfzDdkoqjTw/LoEbeltp7yOA47v15f0FqTDiZeh9N1ihbZPZxNQtU/l096f0Ce/DG4PewMelbomXubqazCeepHj+fPyuuZqwJ59Ec2pYaUnDisbGbr31VubPn09ISAi7du2ydzhCCCGakSqjiVd/S2bW6sO0DfXmq9t70zbMCgfTnrD9O/j1AXDzhZvnQ8wFVmm2zFDGoyse5a/0v7i67dU82vPROhdom4qLSb/vfsrXryf4oYcIvON26yWKVtSskqSbb76Ze++9lxtvrPu260IIIURtHcwu4b5vtrE3s5ibL4jlsZHtcHN2tE7jxipY9Dhs+gRi+sHls8A71CpNHys9xr1L7+Vw0WGe6PUE17S7ps5tGjIzSZtwJ1WpqbR47VV8LeenNkTN6uy2AQMGEBAQcPL7Q4cO0a1bt5PfHzhw4JTvhRBCiLpQSvHV+iOMeWcVx4sr+eSmJJ4dm2C9BKkwDWZdpCdIF9wPN861WoK0KWsT1y64luNlx3lv2HtWSZAqk5NJvfoaDJmZRM/8sEEnSNDMRpJO17JlS3x9fdm2bRuJiYnMnj2bW265xd5hCSGEaAIKyqp57Kcd/L77OP1bB/HmFV0I8XGzXgcHl8CPd+gbRV75BXSwTsKhlOKbfd/w+sbXifCOYPqQ6cT7xte53bK1a0m/734cPD2J+epL3Nq2tUK0tlWrJEnTND/gY6AjoIBblVJrz7fTld/vJzet9HwffkZBUV70v7LNOT/u9ttvZ/bs2bz11lt89913bNiwwapxCSGEaH7WHMzloe+3k1dWxZOj2nNbvzgcHKxUc2M2w4rXYfkr+rL+K7+AoFZWabrKVMULa19g7qG5DIwcyCv9X6nzDtoARXPnkjHlKVxjY4n6aCbOYWFWiNb2ajuSNA1YpJS6XNM0F6DhrM+ro8suu4znnnuOIUOG0L17dwIbyN4MQgghGh+Dycxbi/fzwV+HiAvy5OOb+tIxwtd6HZTnw08T4OBi6HwVjHkbXDyt0nRWWRaT/pzE7rzdTOwykbu63IWDVreqHKUUeTM/Iuftt/Ho1YvId6bj6GOd7Qjqw38mSZqm+QIDgJsBlFLVQHVdOj2fER9bcXNzY8SIEdx111188skn9g5HCCFEI5WaW8YD325le3oR1/SM4qkxHfBwsWJVy7Et8P1NUJoFo9+CpFutsrwfYGPWRib/NZkqUxVTB09laPTQOrepjEayXnyRwm+/w+fii2nx0otoLud2HIpSyq6r3mqTIsYBOcBsTdO2apr2saZp1klb69k111xDnz59SE5OJjIy8mRSdN111+Hg4MCFF15o5wiFEEI0Nkop5mxOZ/T0laTmlfP+dd145dLO1kuQlIJNs2HWCEDBLYugx21WSZCUUny19ysm/DEBHxcfvh71tVUSJHN5Oen33U/ht98ReMcdtHj1f+ecIB3aks2imbswGc11jud81eYn6AR0A+5TSq3XNG0a8BjwVM07aZo2AZgAEB0dbe04reKbb7454/WrVq3illtuwdHRSqsNhBBCNAtFFQam/LKLX7dn0CsugLevSqSFn7v1Oqguh4WTYdtX0HKIfv6ap3XKQqpMVTy/9nnmHZrHoMhBvNz/ZavUHxnz8ki7624qd+0i9OmnCLj22nNuI3l9Fks/3UNonA8mgxlHa51ld45qkySlA+lKqfWW7+egJ0mnUErNBGYCJCUlKatFaGPjx4/n0KFDLFu2zN6hCCGEaEQ2pebzwLfbyCquZPKFbbhrUCscrVWcDZCzH+bcAsd3wcBH9YuDdf4zX7P+6K4udzGxy8Q61x8BVKemcnTCnRizs4l8ZzreQ899VGr3ymMs/zqZiDZ+jLqrMy5u9luI/589K6WyNE1L0zStrVIqGRgK7LF9aPXj559/tncIQgghGhGjycyMPw8yfekBIv09+GFiH7pF+1uvA6Vg65fw2/+BsztcNwdaD7da8zXrj6YPns7g6MFWabdi2zbS7robgJjPPsW9S5dzbmP70jRW/XCA6IRARt7ZEScX+87w1DY9uw/4yrKyLQWQzYSEEEI0O+kF5Uz6dhubjhRwadcInhuXgLebs/U6qCyC+Q/Crh8htj9c+hH4hFulaaUUX+/7mtc3vk6UdxTThkyzyv5HACVLl3Ls4ck4hYQQ/dFMXGLO/eDbTb+lsn5uCvGJwVx4WwKOzvbf77pWSZJSahuQVNfO7F2lbi1KNZrZRCGEEFby6/YMnvh5J0rB1KsSuaRrhHU7SN+sT68VpcOQKdDvIatNr1UaK3lh3Qt6/VHUIF7uZ536I4D8r77i+Esv49axI1EfvI9TjZMtakMpxfp5KWz+7Qite4Qy7Ob2ODjaP0GCetxx283Njby8PAIDAxt1oqSUIi8vDzc3K+6aKoQQosEqrTLy7LzdzNmcTtdoP6Zd1ZXoQCtuF2g2w5rpsOwF8A6HW36D6F5Waz6zNJNJyyexJ28PdyfezZ2d77RK/ZEym8l5+23yPvoYr8GDiXjrTRzcz61oXSnF6h8Osn1ZGh36hjPwunbW23TTCuotSYqMjCQ9PZ2cnJz66tJm3NzciIyMtHcYQgghbGxbWiGTvt3K0fxy7h/SivuGtsbZmqMcJcfhl4lwaBm0Hwtjp4O79eqbTtQfVZuqeWfIOwyKGmSVds3V1WQ+8STF8+fjd83VhD35JJrTuaUUyqz465tkdq/MoNPgSPpf0RqtASVIUI9JkrOzM3FxcfXVnRBCCHHeqowmpi89wAd/pRDq7co3d/SmV7yVT2Q4uBR+vhOqSvSds7vfYrXNIWvWH0X7RDNt8DTifK3zGWwqLib9vvspX7+e4IceIvCO2895hshsMrPs830kr8+i24gYel8S3yBnmZr1AbdCCCHE6XYdK2LyD9vZl1XC5d0jeWpMB3zdrVicbazWp9bWTIfg9nDjPAjtYLXmK42VPL/2eX5N+ZXBUYN5ud/LeLl4WaVtQ2YmaRPupCo1lRavv4bvxRefcxsmo5nFs3ZzaEsOvcbG0X1kbINMkECSJCGEEALQz11798+DzFh2kABPFz65KYmh7UOt20n+YZhzK2Rs0UeORrwMLtarb8oszeSBPx9gb/5eq9YfAVQmJ5M24U7MZWVEfzQTz969z7kNo8HEopm7OLIzj76XtyJxWMPcfPoESZKEEEI0e/uyinn4++3szihmfNcInrm4A34e53aMxn/aOQd+nQQODnDl59BhnFWb35i1kYeXP4zBbGDGkBkMjBpotbbL1q4l/d77cPDyIuarr3Bre+5nsBqqTCx8fwfp+woYeE0bOg5s+LW9kiQJIYRotowmMx+uSGHqkv34ujvzwfXduahjmHU7qS6Dhf8H276EqF5w2cfgZ70RlBPnr72x6Q2r1x8BFM2dS8aTU3CNiyPqo5k4h53761NdYWT+u9vJOlTE0Jva066PdfZ+sjVJkoQQQjRLB46X8PAP29mRXsTozuG8MK4jAZ5WHj3K3KFPr+UdhP6TYdDj4Gi9j96a9UdDoobwUr+XrFZ/pJQib+ZH5Lz9Nh69ehE54x0cvc99b6XKMgO/Tt9Gblopw29LoHWSlacwbUiSJCGEEM2Kyaz4eGUKby7ej6eLIzOu7cqYzi2s24lSsGEm/DEF3APgxrkQb73pL4CM0gwm/TmJffn7uCfxHiZ0nmC1+iNVXU3m889TNOdHfC6+mBYvvYjmcu4JZHlxNfOmbaPgeBkXTexEXOcgq8RXXyRJEkII0Wyk5JQy+YftbDlayIiEUF68pBPB3q7W7aQ8H+beA8kLofUIuOQ98LRucrAhcwOT/5qMwWzgnSHvWLX+yFRURPr9D1C+fj2Bd00k+L770BzOPfkqLahi7tStlOZXMubuLkR1OLeduBsCSZKEEEI0eWazYvaaVF5btA83Z0emXZ3I2C4trL/0PHUV/HgHlOXAiFeg911W2/sI9CmwL/d+yZub3iTGJ4Zpg6cR6xtrtfarjxwh7c6JGI4do8Wr/8N33PkVlxfnVjB36lYqSgxcfH8XWrS24gHA9UiSJCGEEE3akbwyHvlhBxtS8xnaLoRXLu1EiI+Vj5YyGWHFa7DidfCPg9uXQItEq3ZRYazg+bXPMz9lPkOjh/JSv5fwdPa0WvvlGzeSfu99oGlEfzobj+7dz6udwuPlzJ26FUOViXGTuhIa52O1GOubJElCCCGaJLNZ8eX6I7yycB9OjhpvXNGFy7pFWH/0qChdHz06uga6XAOjXgdX6xwee0LN+qP7ut7H7Z1ut1r9EUDhz7+Q+fTTuERFEfXB+7hEn9/qu7xjpcydtg1lVox7sCvBUdZ9HeqbJElCCCGanLT8ch79cQdrDuUxoE0wr17WiXDfczt8tVb2ztfrj8xGGD8Tulxl9S7WZ65n8l+TMZlNzBg6gwGRA6zWtjKbyZk6jbyZM/Ho05vIadNw9Dm/kZ+coyXMm7YNByeNSx7uRkC49Ua57EWSJCGEEE2GUopvNqTx0oI9ALxyaSeu7hFl/dEjQyX88SRs/BjCE+HyWRDY0qpdKKX4fM/nvL35bWJ9Ypk2ZBoxPjFWa99cUUHGY49T8vvv+F15JWFPTUFzPr/jV7JSivj1ne24uDsyblJX/EKst4u4PUmSJIQQoknIKKzg0R93sPJALhe0DOS1yzsT6W+DD+ucZPjhFsjeDX3uhaHPgJN191cqri7m6dVPs/ToUoZFD+PFfi9atf7IkJ1N+j33UrlrFyGPPkrAzTeddyKZnlzAgvd24OnjwrgHu+IdYOV6LzuSJEkIIUSjppRizuZ0nv91D0az4oVxCVzXKwYHByuPHikFWz6H3x7Vz1u79gdoc6F1+wB25e5i8l+TOV52nEeSHuGGDjdYdSSsct8+0u66G1NREZHvzsB7yJDzbuvI7jx++2AnPkHujJuUiKevlbdTsDNJkoQQQjRax4sreeKnnSzdl03PuADeuLwL0YE2GD2qLNLPXdv9E8QN0OuPfKx7tIZSiq/3fc0bm94g2D2YT0d+SpfgLlbto+TPP8l4eDIO3t7EfvUlbu3bn3dbKVtz+P3jXQS08GTs/Ym4e1t5t/IGQJIkIYQQjY5SirnbMnhm3m6qjCaeHtOBmy+Itf7oEUDaRvjxVig6BkOfhr6TwMHRql2UVJfwzJpnWHxkMYMiB/FivxfxdfW1WvtKKQo+/5zjr76GW/v2RL73Hs6hIefd3v4NWSz5dC8hMd6MubcLbp7nV8vU0EmSJIQQolHJKaniyZ938see43SL9uONK7oQH2yd88pOYTLC6qmw/BXwbgG3LoKonlbvZnfebiYvn0xWWRaTkyZzY4cbrTq9pgwGsl56icJvv8N7+DBavPoqDh7nP9q2Z3UGf365jxat/Bh9T2dc3JpuKtF0n5kQQogmZ/6ODJ76ZRdl1SaeGNWO2/rF42iL0aPcA/DzRDi2CRLGw5ip4O5n1S6UUnyb/C2vb3ydQPdAZl80m8SQRKv2YSop4dikBylbvZrAO24n+MEHz+uIkRN2/JnGyu8OENUhgJETO+HsYt0RtYZGkiQhhBANXn5ZNU/9sosFOzPpEunLm1d2oVWIDTYqNJthw4ew5FlwcoPLPoGOl1n1aBHQp9eeXfMsfxz5g/4R/Xm538v4uflZtY/q9HTSJk6kOvUI4S+9iN9ll9WpvS2/H2Htz4eI6xLEiNs74uhsvc0sG6paJUmapqUCJYAJMCqlkmwZlBBCCHHCol1ZTPllJ0UVBh4Z0ZY7B8Tj5GiDD+iCVJh7L6Su1A+mHTsdvMOs3s2evD1M/msyGaUZPNT9IW5KuMmqu2cDlG/ZSvq996JMJqI/+QTPXuc/TaiUYuP8w2xckErrpBCG3tIBR1u8/g3QuYwkDVZK5dosEiGEEKKG48WVPPfrbhbuzCKhhQ9f3t6LdmE2OAdMKdjyGfz+JKDB2BnQ9Xqrjx4ppfg++Xte3fgq/m7+zL5oNl1Dulq1D4CiX+eT+eSTOIWHEfXBB7jGxZ13W0op1vx0iG2Lj9LugnAGX9/ONsXxDZRMtwkhhGhQTGbFl+uO8PrvyRhMZiZf2IY7B7bE2RajF8UZMO9+OLgYYvvDJe+B3/mdW/ZvSqtLeW7tcyxKXUTfiL680u8V/N38rdqHUorcGe+S++67ePToQcT0aTj5n38fyqxY8d1+dv11jE6DIul/ZWu0ZpQgQe2TJAX8oWmaAj5USs08/Q6apk0AJgBEn+fBeEIIIZq3XceKePLnnWxPL6J/6yBevKQjMYE2OANMKdj5AyycDMZqGPk69Lgd6lDUfDb78vcx+a/JpJek80C3B7i1461Wn14zV1WR+cSTFC9YgO/48YQ/9yyay/nvW2Q2K/78Yi/71mbRdXg0fS5taf2jXRqB2iZJ/ZRSxzRNCwEWa5q2Tym1ouYdLInTTICkpCRl5TiFEEI0YWVVRt5avJ/Zqw8T4OnKtKsTGdulhW0+mMtyYf6DsHceRPaE8R9Y/dw10Ed2ftj/A69ueBU/Vz8+GfEJ3UO7W70fY14e6ffcS8W2bQQ/9BCBd9xep9fNZDKzZPYeDm7KpufFcSSNim2WCRLUMklSSh2z/JutadrPQE9gxb8/SgghhPhvf+zO4pl5u8ksquTaXtE8OqIdvh422pxw73z49QGoKoZhz8IF91t9Y0iAMkMZz619jt8O/0bfFn15uf/LBLgFWL2fqgMHSJt4F8a8PCKmTcNnRN2OSTEZzPz+8S4Ob8/lgktb0fXC5j0z9J9JkqZpnoCDUqrE8vWFwPM2j0wIIUSTllFYwTPzdrN4z3HahXkz49pudI+xbp3OSRWF+plrO76FsM4wfh6EJtikq+T8ZCb/NZmjJUe5r+t93N7pdqtPrwGUrlzFsQcfRHN3I+aLL3Dv1LFO7RmqTfz2wU7S9uQz4Oo2dBoUaaVIG6/ajCSFAj9bhtqcgK+VUotsGpUQQogmy2gy8+maVN5avB+zUjw+sh239ouzTWE2wMGl+tL+0uMw8FHoPxmcrH/OmFKKnw78xCsbXsHHxYePL/yYHmE9rN4PQP7XX3P8pZdxbd2aqPffwzm8bufIVVcaWfDuDjIPFjLkxna0v6CFlSJt3P4zSVJKpQDWPWFPCCFEs7Q9rZAnft7J7oxiBrcN5vlxHYkKsMGBtABVpbD4Kdg0C4LawtVfQUQ3m3RVbijn+XXPsyBlAX3C+/BK/1cIdA+0ej/KZOL4/16l4Isv8Bo0iIg338DBs26F7ZVlBubP2E72kRKG35pA6x6hVoq28ZMtAIQQQthcSaWBN35P5vN1Rwj2cuW967oxsmOY7QqCU1fDL3dB4VG44D4YPAWc3WzS1f6C/Ty8/GGOlhzlnsR7uKPTHTjaoM7JVFrGsYcfouyvFQTcdBMh//cImmPd+qkoqWbe9G3kZ5Zx0YSOxCcGWynapkGSJCGEEDajlOK3XVk89+tuskuquLF3DA+PaIuPm40Ksw0VsOxFWPsu+MfALb9BTB+bdKWU4ueDP/Py+pfxdvHmo+Ef0TPc+gfgAhgyMkibeBdVhw4R9uyz+F99VZ3bLCuqYu7UbRTnVjD6rs5EJ1h/5KuxkyRJCCGETaTll/PMvN0s25dNh3AfPrwhicQoP9t1eGyzfiht7n59z6Nhz4Grl026KjeU8+K6F/k15Vd6hffif/3/R5B7kE36qtixg7S770FVVRE180O8+vatc5sl+ZXMfXsr5cXVXHxfFyLa2KhgvpGTJEkIIYRVGUxmZq06zNQlB9A0mDK6PTdfEGub89ZA3wxyxWuw8i39rLUbfoaWQ2zTF3Cg4ACT/5rM4aLD3N3lbiZ0nmCT6TWA4kWLyHj0MZyCg4n6dDaurVrVuc3C7HLmTt2KodLE2AcSCYv3tUKkTZMkSUIIIaxm85ECnvx5J/uyShjeIZRnxyYQ4eduuw6P74af74SsndDlWrjoFXD3s1l3vxz8hZfWvYSnsyczL5xJ7/DeNulHmUzkTH+HvA8/xL1rVyLfnYFTQN33WcrPKGPutK2YTYpxk7oSHO1thWibLkmShBBC1FlRuYFXf9/HNxuOEubjxswbunNhQpjtOjQZYc10+PNlPSm6+mtoN9pm3ZUbynlp/UvMOzSPnmE9eXXAqzabXjMVF3Ns8mTKVqzE74rLCX3qKRzqcMTICTlpJcybtg0HB43xD3UjoIUNjntpYiRJEkIIcd6UUszbnsEL8/eSX1bFrX3jeHB4G7xcbfjxknsQfpkI6RuhwzgY/TZ42q7o+FDhIR5e/jApRSlM7DKRiZ0n2mx6rXL/ftLvuw9DRqbVCrQBsg4XMf+d7Ti7OjJuUlf8Qm207UITI0mSEEKI83Ikr4wpv+xi5YFcOkf68uktPegYYcP6FrMZNsyEJc+Ckytc9gl0vAxstI2AUopfDv7CKxtewd3JnQ+Gf8AFLS6wSV8Axb//Qcbjj+Pg6UHMZ5/h0a2rVdrNOFDA/Bk7cPdxYdykRHwCbTj92cRIkiSEEOKcVBvNfLQyhelLD+Ds6MBzYxO4vncMjg42PAS14AjMvQdSV0LrEXDxNPCp2y7T/ya/Mp/n1jzHsrRl9Ajrwf/6/48QjxCb9KVMJnKmTSdv5kzcu3QhYvp0nEOt09fRPXn89v5OvAPdGDepK55+rlZpt7mQJEkIIUStbTicz5M/7+RAdimjOoXx9JgEwnxts0kjAErB1i9g0RP692NnQNfrbTZ6BPBX2l88veZpSqpLeLj7w9zQ4QabTa+Zioo4NvkRylauxO+KKwh9aopV6o8ADm/PYdFHu/AP82TcA4m4e1v/KJamTpIkIYQQ/6mwvJpXFu7ju01pRPi5M+vmJIa0s/HxFbkHYcFDcPgviO0Pl7wHfrY7lb7cUM7rm15nzv45tPZvzczhM2kb0NZm/VXu30/6vfdhyMwk7Lnn8L/qSqu1fWDTcZbM2kNQtDcX39cFN08bbd7ZxEmSJIQQ4qyUUvy89RgvLdhLYYWBOwfG88DQ1ni42PDjw1gFq6bCyjfByQ1GvwndbwUHG+2zBGzL3sYTq54gvSSdWxJu4d6u9+LiaLuRl+JFi8h44kkcPT2J+fwzPLpap/4IYN/aTJZ9vpewlr6MuacLLu7yUX++5JUTQghxRpuPFPDC/D1sSyuka7QfX47vRPtwH9t2englzH8Q8g7oRdkjXgFv241YGUwG3t/+Pp/s+oQwjzBmjZhFUliSzfpTJhM5U6eR99FHuCcmEjFtmtXqjwB2/ZXOX9/sJ6q9PyPv6oyzi22mCZsLSZKEEEKcIr2gnFcXJfPr9gxCvF15/fLOXNYtEgdbFmaX5cEfU2D71+AXA9f/CK2G2a4/IKUwhcdWPsbe/L2MazmOx3o+hpeLbY4xATAVFur1R6tW4XfVVYQ++YTV6o8Ati4+ypofDxLbOYgRdyTg5CwJUl1JkiSEEAKAsioj7y8/xEcrUwC4f0gr7hzYEk9b7nmkFGz7Cv54CqqKod9DMOARcLHdPj5mZeabfd/w9ua3cXdy5+1BbzMsxrYJWWXyftLvvRdDVhZhzz+H/5XWqz9SSrFpYSobfj1Mq+4hDLu1A462OgKmmZEkSQghmjmzWTFnSzqv/55MTkkV4xJb8H8XtbPtcSIAOfv1qbUjqyCqN1w8FULa27TLrLIsnlr9FOsy19E/oj/P933eZjtnn1D82296/ZGXl9Xrj5RSrPvlEFt+P0q73mEMvrG9bUf8mhlJkoQQohlbl5LHC/P3sDujmK7Rfnx4Q3e6Rdv4RHhDpV6UveptcPGEi6dD1xtsWpgNsDBlIS+ufxGj2chTvZ/iijZXoNlwKwG9/mgqeR99jHvXrkRMm4pziPXqj5RZsfKHA+z8M52OAyIYcHUbNEmQrEqSJCGEaIaO5JXxysJ9LNqdRQtfN6ZdncjYLi1smjQAcOhPfVl/fgp0vgoufAm8gm3aZVFVES+te4nfUn+jc3BnXu73MjE+MTbt01RYyLGHJ1O2ejV+V19F2BNPoFmx/shsViz/ah97V2eSOCyKCy5rZfufXTMkSZIQQjQjxZUGZiw7yKerU3Fy1Hh4eBvuGBCPm62LfEtz4PcnYOf3EBAPN/wCLQfbtk9gTcYanlr9FPkV+dybeC+3dboNJwfbfvRVJieTfu99GLOyCHvhefyvuMKq7ZtMZpZ+upcDG4+TNDqWnmPiJEGyEUmShBCiGTCazHy7MY23F+8nv7yay7tFMnlEW0J9bLhbNujnrW39HBY/DdXlMPBRvTjb2bb9VhormbplKl/t/Yo43zimD55OQlCCTfsEKF64kIwnp+Do7U3MF5/jnpho1fZNBjN/fLKblG059Bnfkm4jbDsi1txJkiSEEE3civ05vLhgD/uPl9IzLoDPxnSw7UG0Jxzfoxdmp62DmH4w5m0IbmPzbnfn7ebxlY9zuOgw17a7lkndJ+HuZNsidGUykf3WW+R/Mgv3bt2InDYVp2DrTiMaq0389uFOju7Op/9Vrek8OMqq7Yt/qnWSpGmaI7AJOKaUGmO7kIQQQljDwexSXl64l2X7sokO8OCD67sxIiHM9lMz1eWw4jVY8w64+sC49yDxWpuetwZgNBv5ZOcnfLD9AwLcAvhw+Idc0OICm/YJlvqjhx6mbM0a/K65mrDHH7dq/RFAdaWRhe/v4Nj+Qgbf0I4OfVtYtX1xZucykvQAsBew8XarQggh6qKgrJppSw/w5bojuDk78vjIdtzcNxZXp3rYXPDAEr0wu/AIJF4Hw18Az0Cbd3u0+CiPr3qcHTk7uCj2Iqb0noKvq+1Hyyr37dPrj44fJ/zFF/C7/HKr91FVbmD+jO0cTy1h+C0daNMzzOp9iDOrVZKkaVokMBp4CXjIphEJIYQ4LwaTmS/WHmHa0gOUVBq4umc0Dw1vQ5CXq+07L8mCRY/D7p8gsDXcNB/i+tu8W6UUcw7M4fWNr+Pk4MSr/V9lVPwom/cLULRgAZlPTsHRx4eYL7/AvUsXq/dRUVrNr9O3k3eslIvu6Eh8V9uuBBSnqu1I0lTg/wBv24UihBDifCilWLYvm5cW7CUlt4x+rYKYMqY97cLqYeDfbIbNs2DJc/rBtIOfhL4PgJPtE7PcilyeWfMMK9JX0Cu8Fy/2fZEwT9uPsiijkey33iZ/lu3qjwDKiqqYN20bRTkVjLqrMzEdbT8iJ071n0mSpmljgGyl1GZN0wb9y/0mABMAoqOjrRWfEEKIf7Evq5gX5+9l1cFc4oM8+eSmJIa0C6mfJeFZO+HXSXBsE8QN1AuzA1vavl9g6ZGlPLv2WSqMFTzW8zGuaXcNDprtj+IwFhSQ8fDDlK1Zi/+11xD62GNWrz8CKMmvZO7UrZQVVTPm3i5EtrXxBp/ijGozktQXGKtp2ijADfDRNO1LpdT1Ne+klJoJzARISkpSVo9UCCHESbmlVby1eD/fbjiKt5szT4/pwA19YnCujzO7qstg+Suw9j1w94fxM6HzlTYvzAYorS7lfxv+x9xDc2kf0J5X+r9CS7/6Scwq9+0j/Z57MWZnE/7Si/hddplN+inKqWDu21upKjcw9v5EwlvWw0pEcUb/mSQppR4HHgewjCRNPj1BEkIIUT+qjCZmr07l3WUHqTCYuLFPLJOGtcbPw/qjGWeUvAgWToaiNOh2Iwx7DjwC6qXrTVmbeHLVk2SVZ3FHpzu4q8tdODs610vfRfMXkDllCo6+vsR89SXunTvbpJ+CrDLmvr0Vo9HMuAe7EhIja6XsSfZJEkKIRkApxaJdWbzy2z6O5pczpF0IT4xqT6sQr/oJoDgDfvs/2PsrBLeDWxZBTJ966braVM2MbTP4dNenRHpH8tlFn5EYklgvfSujkew33yJ/9mzcu3cncurbNqk/AshNL2XetK2gaYx/qBuBEfX0sxVndU5JklJqObDcJpEIIYQ4ox3phby4YC8bDufTNtSbL27rSf/W9bTKyWSAjZ/AshfBbIChT0Of+8Cpfkau9ubtZcrqKewv2M/lbS7nkaRH8HD2qJe+DcePk/HI/1G+YQP+115L6GOP2qT+COB4ajG/Tt+Gs6sj4yZ1xS+0fp6j+HcykiSEEA3Unoxi3l6yn8V7jhPg6cKLl3Tk6h5RONVH3ZFSsP93WPwU5O6HlkNh9Bv6uWv1oNxQzrvb3uXLvV/i7+rPjCEzGBg1sF76Bij5808yH38Cc1UV4a+8gt/4S2zWV8bBQubP2I67lzPjJnXFJ8i2u4OL2pMkSQghGpj9x0uYumQ/C3dm4e3mxIPD2nBLv1h83Oqn/oasnfD7k3D4LwhsBVd/A21H1kthNsBfaX/x0vqXyCzL5PI2lzOp26R62RgSwFxdTc6bb5L/2ee4tmtHxFtv4RofZ7P+0vbms/D9HXj5uzFuUle8/OthTytRa5IkCSFEA3Eop5SpSw4wf0cGni5O3D+kFbf1i8fXo56So+JMfVpt21fg7gcjX4OkW6GeiqOzy7P534b/sfjIYlr6tuSziz6jW2i3eukboDo1lWMPPUzlnj34X389IY9MxsHVdklL6s5cFn24C79Qd8Y+0BUPn3oqvhe1JkmSEELYWWpuGdOXHeCXrcdwdXJk4sCWTOgfj79nPX1oVpfp56ytnqbXIPW5BwZM1pf31wOzMvN98vdM2zKNalM193W9j1sSbqm3lWsARfPmkfXsc2jOzkS+OwPvoUNt2t/Bzdks/mQ3QVFeXHx/Im6e9fdcRe1JkiSEEHaSll/OO8sO8OOWYzg5aNzWL447B7asn2NEQN8te/s3sOwFKMmEDuNg2LP1VncEsL9gP8+tfY4dOTvoFdaLp/o8RYxPTL31by4rI+v5FyiaOxf3pO5EvP46zuHhNu0zeV0mSz/bS1i8L6Pv7YKru3wUN1TykxFCiHqWUVjBjD8P8v3GNBwcNG7oHcPdg1oS4uNWf0Gk/AV/PKnXH0UkwRWfQnTveuu+wljBh9s/5LPdn+Ht4s3L/V5mTPyY+tkp3KJyzx6OPfgQ1WlpBN1zD0F3TURzsu3H4u6Vx1j+dTKRbf0ZdVdnnF3r4dBhcd4kSRJCiHpyvLiS9/48yDcb0lAoru4ZxT2DWxHuW4+rmXIPwB9Pwf7fwDcaLvsEOl5Wb0XZAGuOreGFdS+QXprOuJbjeDjpYfzd6u/YDaUUBV98Qfbrb+AYEED0p7Px7NnT5v1uX5rGqh8OENMpkIsmdMTJWRKkhk6SJCGEsLGckireX36Ir9YfwWRWXJEUyT2DWxHpX4974ZTlwV//g02zwMldn1brdRc419/oVV5FHq9tfI2FhxcS6xPLrBGz6BHWo976B/3stcwnnqT0zz/xGjSI8Fdexsnf9gnapoWprJ+XQstuwQy/NQFHp3rYxkHUmSRJQghhI/ll1Xz41yE+W5tKtdHMpd0iuX9Ia6ID6zE5MlbB+g9hxRtQXQrdb4ZBj4NXPW1GiV6Y/cvBX3hz05uUG8uZ2GUit3e6HVfH+l3uXrZhAxmP/B+m/HxCn3gC/xuut/n0nlKK9XNT2LzoCG17hTHkxnY41Mc+V8IqJEkSQggrKyyv5qOVKXy6OpVyg4lxXVpw/9DWxAfX4zETSsGeX2DxM1B4BFpfCMNfgJB29RcDkFKYwnNrn2NL9ha6hXTjmT7PEO9Xf4XhoB8tkvv+B+S+/z4uUVFEffctbh062L5fpVj1wwF2LEunQ/8WDLqmLZpD/U1rirqTJEkIIaykqMLArFWHmbXqMCVVRkZ3DufBYa1pFeJdv4GkbdSLstPWQ0gC3PAztBxSryFUmar4eOfHfLzzYzycPHjugue4pNUlOGj1O4piyMzk2COPULFpM77jxhH61FM4ennavF9lViz/Jpk9KzPoPCSSfle0rteidGEdkiQJIUQdlVQa+HR1Kh+tTKG40shFCWFMGt6admH1fIJ7wRFY+hzs+hG8QmHsO5B4HTjUb4HwhswNvLDuBVKLUxkdP5pHkh4h0D2wXmMAKFm2jMzHn0AZDLR47VV8x46tl37NJjNLP9/L/vXH6X5RDL3GxUuC1EhJkiSEEOepvNrIZ2uO8OGKQxSWGxjWPoRJw9rQMaJ+jtA4qbIIVr4F694HzQEG/B/0fQBc6/cU+cLKQt7Y9AZzD80l0iuSD4d9yAURF9RrDADmqiqyX3+Dgi+/xK1DByLeehOX2Nh66dtkNLP4k90c2ppDr7HxJI2qn36FbUiSJIQQ56ii2sRX64/w/vJD5JVVM7BNMA8Nb0OXKL/6DcRkhM2zYfkrUJ4PXa6BIVPAN6Jew1BK8WvKr7yx8Q1Kqku4reNt3NnlTtyd6v+g1qqUwxx76CGq9u0j4KYbCX74YRxc6mfncmO1iUUzd3FkVx79rmhNl6FR9dKvsB1JkoQQopYqDSa+2XCU95YfIqekin6tgnhweGu6xwTUbyBKwYE/9P2OcpMhtj9c+CK0SKzfOIAjxUd4Yd0LrM9cT5fgLjzd52na+Lep9ziUUhT9/AtZL76Ig4sLkR+8j/egQfXWf3WlkYXv7+TY/gIGXtuWjgPqN1EVtiFJkhBC/Icqo4nvN6Xz7rKDZBVX0jMugHeu6Urv+PqvsyFrJ/wxBVKWQ2AruPobaDuyXjeDBDCYDMzePZsPt3+Ii6MLU3pN4Yq2V9R7YTaAqbSMrOeeo/jXX/Ho2ZMWr7+Gc2hovfVfVWFk/jvbOX64iGE3tadtb9seayLqjyRJQghxFgVl1Xy1/gifrT1CTkkV3WP8eevKLvRpGVj/hbjFmfDni7D1K3D3g5GvQdKtUI+HwJ6w5fgWnl/7PIeKDnFhzIU81vMxgj3qb9+lmip27uLYww9jSE8n+IH7CZwwAc2x/grVK0sNzJu+jbz0Ui68vSOtuofUW9/C9iRJEkKI06TmljFr9WF+2JROhcFE/9ZBvHVlF/q1Cqr/5KiiQC/IXjMDTNXQ5x4YMBnc6+8YjxOKqoqYumUqc/bPIdwznHeHvsuAyAH1HgeAMpvJ/+xzst96C6egIGK++ByP7t3rNYby4mrmTt1KUXYFIyd2IrZzUL32L2xPkiQhhECvadl8pICPVqbwx57jODlojEuM4Pb+cfW/lB/0Qux17+m7ZVcVQ4dLYNgzEFC/GzGC/tosSl3EqxtepaCqgJs63MTdiXfj4VyPO4fXYMzPJ+Pxxyn7awVew4bS4sUXcfTzq9cYSgsqmTt1G6UFlYy+pzNR7eu5Lk3UC0mShBDNmtFk5vfdx/loZQrb0grxdXfm7kEtualPLCE+9Xeu2UllubB2Bmz4CKrLoMM4GPAIhHWs/1jQd8x+bdNrrD62moTABN4f9j7tA9vbJRaAsnXr9KNFiooIfWoK/tdeW++je8W5FcydupWKUgMX359Ii1Z+9dq/qD+SJAkhmqXSKiPfb0xj1urDpBdUEBPowfPjEri8eyQeLnb401iaA2umw8ZPwFAOHS/Vk6MQ+yQkuRW5vLftPX468BPuTu482uNRrml3DY71vDHlCcpoJGfGDPI+nIlLbCxRH83ErV39HrECUJBVxtyp2zBWmxg3qSuhsXYYZRT15j//Emia5gasAFwt95+jlHrG1oEJIYQtZBZV8OnqVL7ecJSSSiNJMf5MGd2B4R1CcbTHuVolx/9OjkxV0OkK6D8Zgut/GT1AhbGCz3d/zqxds6g2VXNV26uY2GUi/m71XwN1giEjg2OTH6FiyxZ8L7uUsCefxMGj/qf68o6VMnfqVgAueagbQZH1u1mnqH+1+e9SFTBEKVWqaZozsErTtN+UUutsHJsQQljN7owiPl55mF+3Z2BWipEdw7m9fxxdo+304V+cCaunwuZPwWSAzldB/4chqJVdwjGZTcw7NI8ZW2eQXZHNsOhhPNDtAWJ9Y+0SD+i1UMXz55P1wotgMtHijTfwHTPaLrFkHylm3vRtODk5MO7BrviH2f78N2F//5kkKaUUUGr51tlyUbYMSgghrMFsVvy1P4ePVqaw5lAeHi6O3NAnhlv7xhEVYJ+iY4rSYdVU2PI5KBN0uRr6PQSBLe0TD7AmYw1vbnqT/QX76RTUidcHvk630G52iwf0g2kzn32Wsr9W4N6lCy1efw2X6Gi7xJJ5sJD5M7bj6uHMuAcT8Q2203tH1LtaTbxrmuYIbAZaAe8qpdbbNCohhKiDSoOJX7Ye4+NVhzmYXUqYjxuPjWzHNT2j8XWv/32FACg8Cqvehi1f6N8nXgv9HwL/WPvEA+wv2M9bm99i9bHVRHhF8PqA1xkRO8Kuh7Eqs5nC774j+403UWYzoU88gf9119br3kc1pe/LZ8H7O/H0dWHcpK54B9ihmF/YTa2SJKWUCUjUNM0P+FnTtI5KqV0176Np2gRgAkC0nbJ9IUTzlldaxZfrjvLFulRyS6vpEO7D21d1YXSnFrg41f9O0AAUpMLKN2Hb1/rhs91uhH6TwM9+fyezy7N5d9u7/HLwFzydPZmcNJlr2l2Di2P9nHF2NlWHD5P51FNUbNqM5wUXEPb8c7hERtotntSduSz6cBe+Ie6MfSART19Xu8Ui7OOclnAopQo1TfsTuAjYddptM4GZAElJSTIdJ4SoN4dySvlk1WF+3JxOldHM4LbB3NE/3j47Y5+QdwhWvgXbvwEHJ3137L4PgK/9PvTLDeXM3j2bz3Z/hsFs4Pr21zOh8wR8XX3tFhPoK9fyZs8m950ZaG5uhL/8Mr7jL7HriNahLdn88cluAiO8uPj+Lrh72TeBFPZRm9VtwYDBkiC5A8OBV20emRBC/AulFOsP5/PxyhSW7M3GxcmBS7tGcFu/OFqHetsvsNyDsPIN2PG9fmRIzwl6cuRjv/O8jGYjvxz8hXe3vUtuRS4jYkfwQNcHiPKx/yn1lXv3kvnkFCr37MF7+HBCn5qCc4h9j/ZIXp/F0s/2EhrrzZh7u+DqYacpWmF3tRlJCgc+s9QlOQDfK6Xm2zYsIYQ4M4PJzMKdmXy88jA7jxUR4OnC/UNbc0PvGIK97TgdkpMMK96AXXPA0RV63wUX3A/e9XfQ6umUUqw8tpK3Nr3FoaJDJAYn8vagt0kMSbRbTCeYq6rIfe998j7+GEd/fyKmTcNnxIX2DovdK4+x/OtkIlr7Meruzri4yXaCzVltVrftALrWQyxCCHFWxZUGvtuQxuzVh8koqiQ+yJOXxnfksm6RuDnbp6gXgON7YMXrsPtncHaHPvfqyZGXfQ58PWFv3l7e3Pwm6zPXE+0dzduD3mZo9FC7TmGdUL5lC5lPTqH68GF8L72U0P97pN6PFTmT7UvTWPXDAaITAhh5ZyecXOz4vhINgqTIQogGSynFzmNFfLsxjXnbMiitMtIrLoDnx3VkSLsQHOyx+eMJWbtgxWuwZy64eEG/B/XDZz3te8hpVlkW72x9h18P/Yqvqy+P9XyMK9tcibOj/aeMTKVl5Lz9NgVff41zixZEffwxXv362jssADYvSmXdLynEJwZz4W0JODrbqdBfNCiSJAkhGpyicgO/bDvGtxvT2JtZjJuzA6M6hXPzBbF0jvSzb3CZ2+Gv12DffHD10Y8O6X03eNj3gNPS6lJm7ZrF53s+RynFzR1v5vZOt+Pj0jCOzShduYrMZ57GmJmF//XXEzLpARw87b8ho1KKDb8eZtPCVFr3CGXoze1xdJQESegkSRJCNAhKKdal5PPdxqMs3JVFtdFMpwhfXrykI2MTW+DjZueRkGNb9ORo/2/g6gsDH4PeE8Hdfsd1ABjMBn7c/yPvb3+f/Mp8RsWN4v5u9xPhFWHXuE4wFhSQ/b9XKZo7F5f4eGK++gqPbg2jgkMpxeo5B9m+NI32fcMZdF07+45OigZHkiQhhF1ll1Ty4+ZjfLfxKKl55Xi7OXF1jyiuTIqiY4R9l6ZjNkHyb7DhQzi8Atz8YPAU6DUB3Oy8bF4plqct563Nb5FanEpSaBLvDX2PhKAEu8Z1glKKkt9/J+uFFzEVFRF0910ETpyIg0vDWEqvzIq/vt3P7hXH6DQ4kv5XtEaTBEmcRpIkIUS9M5rMrDiQw7cb0li6LxuTWdEzLoD7h7ZmZMdw3O1dMFuerx8bsvETKDoKPpEw7FlIug3c7D99tSt3F29seoPNxzcT6xPL9MHTGRQ1qEEUZQMYsrPJev55SpcsxS0hgehZn+DWtq29wzrJbDKz7It9JK/LotuIaHpf0rLBvHaiYZEkSQhRb9Lyy/l+Uxo/bEonq7iSIC8Xbu8fx5VJUbQMbgAnqmfthPUfws4fwFgJsf1hxEvQdhQ42v/P5bHSY0zfMp2FhxcS4BbAlF5TuLTNpTg72L8oG/TRo6KffuL4/15FVVcT8shkAm66Cc3J/q/dCSajmcWz9nBoSzY9L44jaVSsJEjirBrOO1cI0SRVGU38sfs4321MY9XBXBw0GNgmmGfHJjC0fQjO9i6SNRn1IuwNM+HIanByh85X6ZtAhnW0b2wWxdXFfLzzY77a8xWapnFHpzu4teOteLk0gMTSojotjcynn6Z87To8evQg/IXncYmNtXdYpzAaTPw+cxepO/O44LJWdB0uR2iJfydJkhDCJvYfL+G7jWn8tCWdgnIDEX7uPDS8DZd3j6SFn7u9w4OyXNj8KWyaBcXH9LPUhr8AXa+3+0q1E/Iq8vhq71d8s+8bygxlXNzyYu7reh9hnmH2Du0kZTKR/8UX5EybjubgQNizz+J35RVoDg1rhZihysTC93eQvq+AAVe3odMg+x0PIxoPSZKEEFZTVmVkwY5Mvt14lC1HC3F21LiwQxhX94yib8ughrFyKGMrrJ8Ju34EUxXEDYRRb0CbEeDQMDYPzCzN5NPdn/LTgZ+oMlUxLGYYEzpPoF1AO3uHdoqqAwfImDKFyu078Bo0iLBnn8E5rOEkcCdUVxiZ/+52sg4VMeTG9rS/wH5HxIjGRZIkIUSdKKXYnl7EdxuPMm9bBmXVJlqFeDFldHvGd40g0KsBnJxuMuibPm6YCWnrwdlTHzHqOQFCGk7ikVKUwqyds1iQsgCAMS3HcEvHW4j3jbdzZKdS1dXkfvQRuR98iKOXFy3efAOfUaMaZG1PZZmBX6dvIzetlOG3JdA6yX7HxIjGR5IkIcR5KSyv5uetx/huYxr7skpwd3ZkTOdwru4ZRbdo/4bxgVmaDZtm61NqpVngHwcjXoHEa8Hdz97RnbQ7bzef7PyEJUeW4OroypVtr+TmhJsJ92p4Ix4VO3aQ+eQUqg4cwGfMGEKffAInf/vuFXU25cXVzJu2jYLjZVx0Z0fiutj3qBjR+EiSJISoNbNZsS4lj283prFot77hY5dIX14e34mLu4Tjbe8NH09I36SvUtv9M5gN0HIojJ0OrYZDA6mVUUqx6fgmPt75MWsy1uDt7M3tnW7nuvbXEegeaO/w/sFcUUHOtOnkf/45TsHBRL7/Ht6DB9s7rLMqLahi3rStlORVMvruzkR3aHivqWj4JEkSQvynw7llzN+ewZwt6RzJK8fHzYlre0ZzZVIUHVrYf98gAIxVsPsXfePHY5vBxRuSboWed0BQa3tHd5JSihXpK/h458dsy9lGgFsAD3R7gKvaXoW3i7e9wzujsnXryHzqaQxpafhdfRUhkyfj6NVwVtadrjivgrlvb6WixMDF93ehReuGOdIlGj5JkoQQZ3Qkr4z5OzJZsCOTPZnFAPSKC+DBYW24qGMYbs4No8iZ4kx9Om3zbCjLgcDWMPJ16HJ1g9j48QSj2cgfqX/wya5P2F+wn3DPcJ7o9QTjW43HzcnN3uGdUdXhw2S/+SalS5biEhND9Oef4dmzp73D+leFx8uZO3UrhioTYyclEhZn513bRaMmSZIQ4qS0/HIW7NQTo53HigDoGu3HU2M6MKpTGOG+DWDpPoBSkLYB1n8Ae+fpx4e0vlA/LiR+SIOZUgOoNlUz79A8Zu2aRVpJGnG+cbzU7yVGxo1sMJtAns6Yn0/ujHcp+P57HFxcCJ70AAE334yDW8NM5k7Iyyhl3tRtmM2KcQ92JTiqYY7MicZDkiQhmrljhRUs3JHJ/J2ZbE8rBKBLlB9PjmrPyE5hRPp72DfAmgyV+tL9DR9C5nb9oNmed0LP2yGgYa0AKzeU88P+H/h89+dkV2STEJjA1EFTGRw9GAet4SRxNZkrKsj/7HPyPvoIc2Ul/lddSdA99+AU2PDreXKOljBv2jYcnDTGP9SNgBae9g5JNAGSJAnRDGUWVbBgRyYLdmay9WghAJ0ifHlsZDtGdwonKqABJUYAuQdh21ew5TMoz4PgdjD6LX1nbNeGVRtTVFXE13u/5qt9X1FUVUTPsJ680O8F+oT3aRgr/s5AmUwUzfuVnGnTMGZl4TV0KCEPP4RrfMNKPM8mK6WIX9/Zjou7I+MmdcUvpIG9f0WjJUmSEM3E8eJKFlqm0jYdKQAgoYUP/3dRW0Z3CicmsIH9z7ssF3b9BDu+1QuxNQdoM1KfUosbCA0s4cgpz+HzPZ/zffL3lBvLGRQ1iNs73U6X4C72Du1fla5eTfbrb1C1bx9unToR8fprePToYe+wau3Y/gIWvLsDdx8Xxk1KxCewgUwJiyZBkiQhmrDskkoW7cpi/vZMNh7JRyloF+bN5AvbMKpTOPEN4VDZmgwVkPwb7PgODi4BsxFCO+rHhXS6HHxa2DvCf0grSWP2rtn8cvAXTMrEyLiR3NbxNlr7N5wVdWdSmbyf7DfeoGzlSpwjIvQNIUeObHDHifybo7vzWPjBTnwC3Rg3qSuefg1g41LRpEiSJEQTk1NSxaLdWSzYkcH6w3pi1DbUmweH6YlRq5AGlhiZzfrBsju+03fFrioG73Dofbc+ndZADpk93f6C/Xyy8xMWpS7CUXNkfKvx3NzxZqK8o+wd2r8yHD9OzvTpFP38Cw7e3oQ8+ij+112Lg4uLvUM7Jynbcvj94134h3ky7oFE3L0bV/yicZAkSYgmIK+0it93H2f+jgzWpeRhVtAy2JP7h7RmdOdw2oQ2wFU+Ocmw/VvY+QMUpelHhXQYqydGcQMazDlqp9ues52Pd3zM8vTleDh5cFOHm7ihww0EezTs3ZxNpWXkffIx+bM/BZOJgBtvJGjinTj6+dk7tHN2YONxFs/eQ3C0Nxff1wU3z4a5SlA0fpIkCdFIFZRV8/vuLBbszGTNoTxMZkV8kCf3Dm7F6M4taBPq1fAKhUuzYeccfdQoc5teZ9RyCAx9BtqNApcGVhdloZRibeZaPt75MRuzNuLr6svdiXdzbbtr8XVt2PvwKKORwh9+IGfGu5jy8vAZNYrghx7EJTLS3qGdl71rMlj2xT7CW/oy5p4uuLjLx5iwnf98d2maFgV8DoQCCpiplJpm68CEEP9UVG7g9z1ZLNiRyeqDuRjNiphADyYOjGd0pxa0D/dueIlRdTkkL9RHjQ4tA2WC8C76GWodLwPvhnvgaFFVEb8e+pU5++dwqOgQIR4hPJL0CJe3uRwP54a9gkopRemff5L9xptUp6TgntSd0Pffw71zZ3uHdt52Lk9nxbf7iWrvz8i7OuPs0jBHG0XTUZsU3Ag8rJTaommaN7BZ07TFSqk9No5NiGZPKUVKbhl/7svmr/05rEvJw2BSRAW4c8eAeEZ3CiehhU/DS4zMJkhdCdu/0zd7rC4Fn0joez90vhpC2tk7wrM6cabajwd+ZHHqYqrN1XQO6szzFzzP6PjRuDg2/NqXip07yX71Nco3bcIlLo7Id2fgNWRIw3ufnIMtfxxh7U+HiO0cxIg7EnBqKDu+iybtP5MkpVQmkGn5ukTTtL1ABCBJkhA2UFFtYl1KHn8mZ7M8OYej+eUAtA7x4ta+cYzuHE6nCN+G+YF3fLelzmgOlGSAqw8kXKInRjF9G9RO2KcrqCxg3qF5zNk/h9TiVLydvbmszWVc1voy2ga0tXd4tVKdfoyct9+meMECHAMCCHvmafwuvxzNufHW7Cil2LgglY3zD9OqewjDbu2Ao2PDfR+JpuWcJnM1TYsFugLrbRKNEM1Uam4Zy5Oz+TNZHy2qMppxd3akb6tAJgyIZ1Db4Ia183VNJVl68fX27+D4TnBwglbDYMRL0HYkODfcfWvMyszGrI3M2T+HpUeXYjAb6BrSlds73c6FsRfi7tRwY6/JVFRE7gcfUvDll+DoSODEOwm8/fYGfQhtbSilWPvTIbYuPkq73mEMvrE9Dg4N8D8HosmqdZKkaZoX8CMwSSlVfIbbJwATAKKjo60WoBBNUaXBxPrD+Sen0Q7nlgEQH+TJdb1iGNwumB6xAQ3nENnTVZXCvvn6qNHhv0CZIaK7frBsx0vBM8jeEf6r3Ipc5h6cy48HfiStJA0fFx+uansVl7W+jFb+rewdXq2Zq6sp+Pprct//AHNxMb7jxxN8/304h4XZO7Q6U2bFyu/2s/OvY3QcEMGAq9ugSYIk6pmmlPrvO2maMzAf+F0p9dZ/3T8pKUlt2rTJCuEJ0XSk5ZefHC1acyiXSoMZVycHLmgZyKC2IQxqG9zwdr2uyWyClD9hx/ew91cwlINftL5kv/NVENSwN080KzPrMtYx58Ac/jz6J0ZlpHtody5vcznDY4bj6th4NiJUSlHy229kv/U2hvR0PPv2JeSRybi1a7i1XufCbFb8+eU+9q3JJHFYFBdc1qphTi+LJkPTtM1KqaTTr6/N6jYN+ATYW5sESQihqzKa2JRawJ/7svkzOZtDOfpoUXSAB1f3iGZg22D6xAc23NEigOoyOPQn7P8N9v8OZTng5gudr9TrjKJ6Neg6I4Ds8mx+OfgLPx34iWOlx/B39ee69tdxaZtLifdtHGeT1VS+aRPHX3udyh07cG3blqiPP8arX197h2U1JpOZpbP3cGBTNkmjY+k5Jk4SJGE3tZlu6wvcAOzUNG2b5bonlFILbRaVEI3UscIKllsKrlcfzKW82oSLowO94gO4rlcMg9oGExfk2bD/6Bdnwv5F+vEgKcvBVAWuvtB6uL7ZY+sR4Oxm7yj/lclsYnXGaubsn8OK9BWYlIleYb2Y1G0SQ6KHNIoVaqerSjlM9ptvUrp0KU4hIYS//DK+48aiOTbgJPscmQxmfv94F4e359JnfEu6jYixd0iimavN6rZVQAP+iy6E/RhMZjalFpxMjJKPlwAQ4efOpd0iGNw2hD4tA/FwacAb3ikFx3dB8iJ9P6OMLfr1fjGQdKtefB1zATg2/BVSWWVZ/HzgZ346+BNZZVkEuAVwU8JNXNb6MqJ9GmetZFVKCvmzP6Xwp59wcHUleNIDBNx0Ew7ujaOovLYM1SYWfbCTo3vy6X9VazoPbtjHu4jmoQH/5RaiYTpeXKnXFu3TR4tKqow4O2r0jAvg8u7tGdwumJbBDXC365qM1XBklT5alPybfiwIGkQmwdCnoe0oCG4HDfk5WBjNRlamr+THAz+y8thKzMrMBS0u4P96/B+DIgfh3AiSu9MppSjfsJH82bMpXb4czcUF/6uuIuieu3EKDLR3eFZXXWlkwbs7yDhYyOAb2tGhb8M7yFg0T5IkCfEfCsqq2ZCaz/qUfNam5LE3U1/cGe7rxpguLRjUNpi+rYLwcm3gv07l+XBwiT5adGAJVJeAkzu0HAwD/0+fRmvAu1+fLqM0g58O/MTPB34muyKbYPdgbut4G5e2vpRI78Z55IYyGChe9Dv5s2dTuWcPjv7+BN1zD/7XXtMkkyOAyjID82dsJ/tICcNv7UCbHo1/ZZ5oOhr4X3Uh6l92SSUbDutJ0YbD+Sen0FydHOgW7c9jI9sxqG0wbUMb4BEgp8s79Pdo0dG1+pEgXqH6Mv22IyFuILg00P2XzsBgNrAibQU/HPiBNcfWANAvoh9PtnmSAZEDcHJonH/STCUlFH7/A/lffokxMxOXuDjCnnsO33FjcXBr2PVfdVFRUs286dvIzyjjojs6Et+1YR8SLJqfxvkXRQgryiisYP3hvJOJUYplzyJPF0e6xwYwNrEFveIC6BTpi6tTAy+SNZsgfZM+WpT8G+Qm69eHJEC/B/VptBZdG/yKtJqUUiQXJLPo8CLmHppLbkUuoR6hTOwykfGtxhPuFW7vEM+b4dgx8j//gsI5czCXleHRsydhTz+F18CBaI3oZ3Q+yoqqmDt1G8W5FYy6uzMxCU1zpEw0bpIkiWZFKcXR/HLWp+Sz/nA+6w/nkV5QAYC3mxM9YwO4umcUPeMC6djCB6fGcPxBVam+f1GyZZl+ea6+63VsP0vh9UXgH2vvKM+JUopdubtYfHQxS44sIa0kDQfNgQGRA7i89eX0jejbaEeNQD9bLX/2bIp//wMAn5EjCbj5Ztw7Jtg5svpRkl/J3Le3UlZczcX3diGirb+9QxLijBrvXxkhakEpxaGcUtZZps42HM4nq7gSgABPF3rGBnBbvzh6xgXQLswHx8ayo29xRo1l+n/py/TdfKH1hfo0Wqth+veNiFmZ2Za9jcVHFrPk6BKyyrJw0pzoFd6L2zrexuDowQS4Bdg7zPOmzGZKly8nf9ZsyjdtwsHLi4AbbyTghutxbtF8CpULs8uZO3Ur1RUmxj2QSFh843qfiuZFkiTRpJjNin1ZJSenzzYczievrBqAEG9XesUH0jMugN5xAbQKaeAr0GoyGSFzOxxaalmmv1W/3j8WetymJ0bRfRrFMv2ajGYjm45vYsmRJSw9upTcilxcHFy4IOIC7ut6HwMjB+Lr2rg/RM0VFRTNnUv+p59RnZqKU4twQh59FL8rLm/0Z6udq/yMMuZO24rZqLjkwa4ER3vbOyQh/pUkSaJRM5rM7M4oPiUpKq40AvpeRQPbBtMrLoBecYHEBHo0nqTIbIKsHZC6Cg6v1Iuuq4rRl+n3gKHPWJbpt20Uy/RrMpgMrMtcx5KjS1h2dBmFVYW4O7nTL6Ifw2OGMyByAJ7ODfh4lloy5uZS8PXXFHz9DabCQtw6dqTFm2/gM2IEmlPz+9Obk1bCvGnb0Bw0LnmoK4ERzStBFI1T8/tNFY1atdHMjvRCSz1RPptT8ymrNgEQF+TJyI7h9IoPoGdcAJH+jWfVFmazvqFj6ipIXQlHVkNlkX5bYGvoeBnE9YfYAeDV+FYAVRorWZOxhsVHFvNX2l+UGErwdPZkYORAhscMp29EX9ydmsbmiFUHD5L36acUz/sVZTDgNXgwgbfcjHtSUuNJ0q0s63AR89/ZjrOrI+MmdcUvtBH9bopmTZIk0WCZzYqU3FK2pxWxI72Q7elF7MksptpoBqBNqBfju0XQK06fQgv1aURLpc1myNmnJ0SHV+hJUUWBfpt/HHQYpydEsf3Ap3Gu3io3lLPi2AqWHFnCivQVVBgr8HHxYUj0EC6MvZDe4b0b5fEgZ6KUonzdOvJmz6ZsxUo0V1d8Lx1PwE034RoXZ+/w7CrjQAHzZ+zA3duZcZO64hPUNJJh0TxIkiQaBKUU6QUV7Eg/kRAVsutYMaVV+tSZh4sjHSN8ualPDN1j/OkRG0CgV+M5tR2lIHe/nhClrtRHjMrz9Nv8oqHtaMtIUT/wbZwbIQKUVJewPG05S44sYXXGaqpMVQS4BTAmfgzDYobRI6wHzg6Nq27q36jqaop/+428Tz+jau9eHAMDCbr/PvyvuQYnf1mxdXRPHr+9vxPvQDfGPtAVL/9G9DsrBJIkCTvJKak6OTq0I72QHelF5FsKrF0cHWgf7s34rhF0jvSlS5QfLYO9Gs/KM9CTorxDkLpCrylKXQVl2fptPpH6KrRYS1Lk37gP8SysLOTPtD/548gfrMtch9FsJMQ9hMtaX8awmGF0C+mGo0MD31/qHJmKiyn47jsKvvgSY3Y2Lq1aEv7iC/hcfDEOrpIIABzensOij3bhH+rJ2AcS8fBpGqOGonmRJEnYXFGFgV3HitieXsgOy9RZRpG+DN9Bg9Yh3gxtF0LnKD+6RPrSNsy74W/aeDqloOCwJSGyJEUlmfpt3uEQP+jvkSL/uEZXbH263Ipclh5ZyuKji9mUtQmTMhHhFcF17a5jWMwwOgd3xkFrBHtMnaPq9HTyP/ucwh9/RJWX49GnN+EvvoBnv35NfvPHc3Fg03GWzNpDUJQXF9+fiJtn0xk9FM2LJEnCqiqqTezJLDpZR7QjvejkDtYAMYEedI8N4NZIXzpH+pHQwgfPhn7m2dkUHPk7ITq8EorT9es9Q/5OiGIHQGDLRp8UgX5W2rKjy1h8ZDFbs7eiUMT6xHJLx1sYHjOc9gHtm2RhsjKZKF+/noLvf6Dkjz/AwQHf0aMIuPlm3Nq3t3d4Dc6+tZks+3wvYS19GXNPF1zcG+nvtxBIkiTqwGAyk5xVUqOOqIj9x0swmRUAoT6udI7049JuEXSO9KNzpC9+Ho10yF0pyE+BtA2WFWgroPCofptHkCUhmgRxAyCoTZNIigoqC9iQtYH1metZn7meoyX6823l14q7utzFsJhhtPJr1TQTI6Wo3LmTovnzKf7tN0w5uTh4exN46y34X389zmFyCOuZ7Pornb++2U9kO39G3dUZZ9dGNiIsxGkkSRK1UlFt4kB2CfuyStiTUcz29EL2ZBRTZVlp5ufhTKcIX4a2a3myjqhRrTY7XUkWHNsMx7bo/2Zs+XtJvrs/xPSFPvfqdUUh7ZtEUlRuKGfz8c16UpS1nn35+wDwdPYkKTSJq9tdTb+IfsT5Nt3VWlWHDlG8YAFF8xdgOHoUzdkZr0GD8BkzBq+BA5r0YbN1tXXxUdb8eJDYToGMmNARJ2dJkETjJ0mSOIXJrDiSV0Zylp4QJWeVkHy8hNS8MpQ+QHRypdkNvWNO1hFFBzSijRpPV1mk72B9IiE6tgVKMvTbNEcITYCE8RDRXb8Et29UB8SejcFkYGfuTtZlrmN95np25O7AaDbi7OBMYkgi9ybeS6/wXiQEJTSpFWmnM2RmUrxwIUXzF1C1dy84OODZuxdBd96J9/BhOPr42DvEBk0pxaaFqWz49TAtu4Uw/NYOODo1/t8PIUCSpGZLKUVOSdUpiVByVgkHskuoNOijQ5oGsYGetA31ZmyXFrQL86ZtmDcxgZ6Na6VZTYZKfdPGkwnRZsg78PftAfEQ21dPhlp0g7BO4NI0Nr4zKzP7C/azPnM96zLXsfn4ZiqMFWhodAjswI0dbqRXeC+6hnRtMhs7no2xoICS3/+geP58yjdtAsCtS2dCn3gc74suwjkkxM4RNg5KKdb9cogtvx+lba8whtzYDofGcCi0ELUkSVIzUFplZL8lCdJHiIpJziqhoNxw8j7B3q60C/Pm+l4xtA3zpl2YD61CvHB3acRD5maTvjdRzYTo+G4wW563V6ieDHW5Sk+IWnQFj8Z7gOrplFKklaSdHCnamLWRgip9w8pYn1jGthxLn/A+JIUlNfrz0WrDXFZGybI/KV6wgNJVq8BoxCU+nuAH7sdn1ChcYhr3Vgz1TZkVK384wM4/00no34KB17RFa6z/eRLiLCRJakIMJjOHc8sso0PFJGeVkny8mLT8ipP38XBxpE2oNyMSwmhrGRlqF+ZDgGcjLag+QSkoSjt1yixzG1SX6re7eENEV+hzz9/TZj4tmkQtUU25Fbknk6L1mevJLNO3IQjxCKF/ZH96hfeiV1gvQj1D7Rxp/VDV1ZSuXk3x/AWULFuGqqjAKSyMgJtuxHfMGFzbtWu808R2ZDYrln+1j72rM+kyNIq+lzfNAn4hJElqhJRSZBZV1qgbKmZfVgkpOWVUm/SpMkcHjfggT7pE+nFVUhRtQvVkKNLfHYem8L+98vxTR4gytkBZjn6bowuEdoQu11gSom76+WdNoI7odCXVJWzK2sT6LD0pOlh4EAAfFx96hvXk1o630iu8F7E+sc3mQ0yZzVRs3kzR/AWULFqEqagIR19ffMeNxXfMGNy7dZM9jerAZDKz9NO9HNh4nKRRsfS8OK7ZvLdE8/OfSZKmabOAMUC2Uqqj7UMSJ5RXGzmcW6ZfcvR/U3LLOJRTSonlpHuAcF832oZ5M7BtsF43FOpDyxDPxrch45mYzfomjdl7LZfdepF1QarlDpq+5L7VcD0ZiuimJ0hOTXPX4ypTFduyt50cKdqVtwuzMuPm6Ea30G5c3PJieoX3op1/uya3y/W/UUpRtXcvRfMXULxwIcasLDR3d7yHDsVnzGi8LrgAzaWRj5Y2ACaDmT8+2U3Kthx6XxJP94ti7R2SEDalqRNLls52B00bAJQCn9c2SUpKSlKbLMWQ4t8ZTGbS8stPJkMpNRKirOLKU+7bwteNuGBP4oL0Yuq2YT60DfXG16MJrDxSSl92n73Hctlr+XcfGP+eLsQvGsITLQlRd/1rt6a5+kgpRXppOrtyd5287M7bTZWpCkfNkY5BHekV3ove4b3pEtylyRwWey6qjxyhaMECiucvoDolBZyc8OrfH5/Ro/EeMhgHj6ZRdN8QGKtN/PbhTo7uzqffFa3pMjTK3iEJYTWapm1WSiWdfv1/jiQppVZomhZrk6iaCbNZcbykksM5liSoxuVofvnJzRcB/D2ciQvypG+rIOItCVFckCexgZ6Nu4i6poqCGknQXjhuSYwqC/++j2eIvv9Q0i36vyEdILgtuHrbLWxby63IZXfubnbm7mRX3i525+6msKoQABcHF9oHtufKtlfSK6wX3UO74+XiZd+A7cSQnU3JokUUzV9A5Y4dAHj06EHATTfhfeFwOVjWBqorjSx8fwfH9hcy6Lq2JPSPsHdIQtQLqUmyosLy6lNGgk6MDKXmllFhMJ28n5uzA3FBXnQI92F0p3A9EQr2JC7QE//GXkBdU3U55CZbEqHdf0+ZndiDCMDVR0+CEi7RE6ETCZFnkN3Crg+l1aXsydvDztyd7M7bza7cXSeLrB00B1r5tWJI9BASAhPoFNSJVv6tmvReRf/FcPw4ZStXUrRgAeXrN4DZjGuH9oQ88gg+o0biHB5u7xCbrKpyA/NnbOd4agnDbu5A216y27hoPqyWJGmaNgGYABAdHW2tZhuckkoDafkVpOZZkqCcMg7nlnI4t+yUJfWODhrRAR7EBXlyQctA4oI8ibckQ6Hebk2jePoEkxHyD9VIhCwjRPkpgGWUzNEVgtvoZ5qFdPg7IfKNbHIrzE5XbaomOT/5lITocNFhlOW1ifKOIjE4kevaX0enoE60C2iHh3PzniYyFRdTvmEDZWvXUbZ2rT6VBjjHRBM0cSI+Y0bjGh9v5yibvorSan6dvp28Y6WMuD2Blt1k/yjRvPxnTRKAZbptfnOoSSqpNJBeUGG5lJ/2bwVFFYZT7h/m43ZyJCg+6O/psagAD5yb2qZqJiMUHYWc/afWDeXuB1O1fh/NQd+QsWYiFJoA/nHg2PQHLk1mE4eLDp+SECUXJGM064X2gW6BdArqREKQPkKUEJiAn5uffYNuAMzV1VRs2UrZ2rWUrVtL5c5dYDajubvj0SMJzz4X4NmnN65t28pKqnpSVlTFvGnbKMqu4KI7OxLbqWmP7orm7bxrkpqa0iqjnvTkn5r8pBfqXxeWn5oEuTs7EunvTqS/O92i/S1fexAb5EFsoGfjPcH+bExGKDwC+Yf10aH8FMiz/Ft4BMx/r6rDJ1JPgloO0ROhkPb6SjPnpr1b8wlKKTLKMk4prN6Tt4dyYzkAXs5eJAQmcGOHG+kU1ImOQR0J9QiVD3n0ZfqVe/dSvnYtZWvWUr5lC6qyEhwdce/cmaCJE/Hs0xv3Ll1kVZodlORXMnfqVsoKqxh9b2ei2jWdTVaFOBe12QLgG2AQEKRpWjrwjFLqE1sHdr7KqoxnHAVKKzhzEuTm7ECkvweR/u50jfo7CTqRGAV4ujS9DzWTQT/BPj/l1CQo/5B+fc1EyNkTAuMhrCN0GAsBLSGwlZ4QufvZ7SnUN6UUWWVZHCg8cMpKs/zKfEAvrG4X0I5xrcadHCmK9YnFQWtio4nnSSmFIS2NsjVrKVu7lvL16zEVFgLg2roVfldegWefPnj06IGjV/MsSG8oinIqmPv2VqrKDYy9P5HwVn72DkkIu6nN6rZr6iOQc3Ewu5Sj+WWknT4aVFB+Sl0QnJoEJUb51UiA9H8Dm2ISBKcmQjWToPyUfyZCLl4QEAdhnaHDJRDYUp8yC2gJXiFNvmaoJrMyk1mWyaHCQycvKUUpHCo8dHKEyEFzIN43ngGRA04mRG382uDs2HwLq8/EmJdH2Tq9pqh8zVoMGXrBvlNYGF6DB+N5QR88evWSc9IakIKsMua+vRWj0cy4B7sSEtM0t9cQorYa5VzRPV9tIfl4CQCuTg4nk57Okb6njAJF+nsQ5NVEkyD4OxE6PQnKs4wIqb9X1OmJULyeCCWM/zsJCohvdokQ6MnQsZJjHCr6OxE6WHiQw0WHqaixL1OwezDxfvGMbz2eeN94Wvq1pH1A+2ZfWH0m5rIyyjdvPjlaVJWcDICDjw+evXoRcPttePbpg0ts89n9uzHJTS9l3rStAIx/qBuBETKiJ0StCrfPla0Lt9en5OFsSY6CvVyb7h9ckwGKM6Ao3XJJ0/89MUL0j0TIW58aq5kAnRgV8gxudokQ6IXU6aXpf48MFR0ipTCFw0WHqTT9vVlniEcIrfxanUyEWvm1Is43rlkc/Hq+lMFAxc6derH12rVUbNsORiOaiwvu3bvh2bsPnhf0wa1DBzTHJrLHVxN1PLWYX6dvw8nFkXGTEvEP87R3SELUqyZVuN0rPtDeIdSdUvqmiicToBpJ0IlLSSYnl9Cf4BGoL5tv0RU6Xnbq1JhnULNMhACMZiNpJWlnTIaqzdUn7xfuGU68Xzw9wnroSZFfPPG+8Xi7NN1NKq1FKUXVgQOUr1unF1tv2IC5vBw0DbeEBAJvuUUvtu7WDQc3N3uHK2op42Ah82dsx83TmUse7IpPUPNYeCFEbTTKJKlRMFadNgp0hiTIUHbqYxxdwTdCT4JaDtb/PXmJAp8IcGne0zwGs4GjxUdPSYQOFh7kSPERDOa/69EivCKI942nT4s+tPRrSUvflsT7xePpLP9Drg1lNmM4epTKPXssl71U7tlzstjaJSYGn3Fj8ezTB8+ePXH087NrvOL8pO3NZ+H7O/Dyd2PcpES8/CW5FaImSZLOh1JQnvfPpKfm96XZ/GMUyDNET3iC20Krof9MgjyCmuRJ9edCKUVeZR7pJemkl6ZzrOQYx0r1S3pJOlnlWZiVGQANjQivCFr6tWRA5ICTyVCcb5zUDJ0DZTBQlZJyMhGq3LuHqr37MJdZknhnZ9xat8Z7+DDcExPx7NMH5xYt7Bu0qLPUnbks+nAXviHujJvUFQ8f2WpBiNNJklSTyQjlufpBq6XH9UvJcSjNOu3rbDCeevgsTu5/JzytL9STnppJkE8EOMv/0kA/kuNE0pNemn5KEpRRmnFKrRBAkHsQEV4RdA3tSoRXBLE+sbT005MhdyeZGjgX5spKqvbvP2V0qGr/flS1PiWpeXjg1rYtvpdcgluH9rh16IBry5ayV1ETc3BzNos/2U1gpBdj70/EzUtWZgpxJs0jSaou/zu5+bcEqDwXLKMUp3DzA+8wfRVYVG/wDtU3UjxlFCig2dYDnc5gMpBRlsGxkmOkl546IpRemk5RVdEp9/dy9jqZ/PSL6EeEVwSR3pFEekXSwqsFbk6SXJ4PU2kpVXv3npoQpaSASS/2d/D1xa19e/yvvx639u1xS+iAS0yMFFk3ccnrs1j66R5C43wZc18XXN2bx8eAEOej8f52KAXl+ZaEJ8uS8JxIfiwJ0Ynrq0v++XjNUU96vEL1UZ4WXcErTE+AvEL//tozREaATmNWZnLKc04mPSeSoROjQdnl2SfPJQNwcnAiwiuCCK8IOgR2INI7Uk+EvCKJ9I7Ex8Wn6a5QrCfG/PxTpssq9+zBcOToydudgoNx7dAer2FDcevQAbf2HXCOaCGvezOze+Uxln+dTEQbf0bd1QkXt8b7ESBEfWicvyGzR0PaejAb/nmbs4ee5HiHQWhHaDnUkviclgB5BDb7+p8zqTBWkFOeQ3Z5Ntnl2eRU6F/nlOeQXaH/m1WWdcqKMdCX0Ed6RdIzrCcR3noCdGJEKNg9GEcHGZ2wBqUUxqysU0aHKvfuxZiVdfI+zpGRuHXogN/48ZaEqD1OwcF2jFo0BNuXprHqhwPEdAzkogkdcXKR30kh/kvjTJJaDobIJEsyZEl6TnztKku5z8RgMvyd8NRMfMqzTyY/OeU5lBj+Oerm5uhGsEcwIR4hJAQmMCR6yMkEKMIrghZeLXB1dLXDs2q6TMXFVB9Nw3D0CNVH06g+ehTD0aNUHTqEqaBAv5ODAy5xcXj06KFPl3XogFv7djj6yt5O4lSbfktl/dwU4rsGc+FtCTg6yX8QhaiNxpkkDZhs7wgaDJPZRH5l/slE50wjQDkVOSfPGKvJycGJYPdggj2CifeNp3d475PJULC75V+PYLydvWVaxsqUUpjy86k+cpTqo0cwWBKh6rSjGI4cPbnU/gSn4GCco6PxGjrk74SobVscPGQVnzg7pRTr56Ww+bcjtOkZytCb2uPgKAmSELXVOJOkJq7cUE5hVSEFlQUUVBVQUFlAfmX+yevyKvPILc8luzyb3Mrck0viT3DQHAh0CyTYI5hwz3A6B3cm2COYUI/QU5IfP1c/OYDVhpTZjPH4cT0RStNHgvSv0zAcOaJvxHiCgwPOYWE4x0TjPWIELtFROEdH4xIdjUtkJA6esr+TODdKKVb/cJDty9Lo0Decgde1w8FB/rMjxLmQJMnGzMpMUVXRyWSnZuJz4uvCykLyK/NPfn36EvgTnDQn/Nz8CHALINgjmNb+rfWRH/eQkyNAIR4hBLgF4OQgP9r6oAwGDBkZ+ijQ0dMSobS0k0vrAXB2xiUiAueYaDy6d9cToJhonKOicY6MwEGW2QsrUWbFX98ks3tlBp0HR9LvytYyGizEeZBP0nOglKLcWE5xVfHfyU1V/skk58RIT82vi6qL/jHSc4Knsyd+rqcmPQFuASev83fzP/m1n5ufTHvZgbmsDGNODsacHAzZ2RiPZ1tGhSx1QhkZJ5fUA2hubrhER+MaH4fXwIF6IhQdhXN0DM7hYbK8Xtic2WRm2ef7SF6fRbeLYug9Ll7+bghxnppdklRprKSkuoSS6hKKq4spri4++f2J6852W0l1CaaaB8rW4KA54Ofqh7+rP/5u/rT0a3nya383f/xd/U+OAp34Woqd7UMppSc/2dkYs/UEyJidfTIZqvn1yV2na3Dw8cElOhr3Th3xGT0Kl+iYk9NjTsHB8oEk7MZkNLN41m4Obcmh19h4kkbF2jskIRq1RpkkFVUVUVhVePZEp8qS6BiKT/m+pLrkH0vXT+fm6Ia3izfeLt74uPgQ6BZIrE/sye99XHzwdvHGz+3vhCjALQBvF2+p77EzpRTm4uIzJjuGE19bkiJVUfGPx2tubjgFB+MUEoJru/9v715j5KrLOI5/n7nszl67QHe19AJNaKi1wBYbRJGLcklVpCaaiLcEAyEGDYgSb2+MISa+MKY1IZCmYhM1EAMkraSiLzTxgpqiRa5VK1jaCi0t3V22u3PZnccX5+wy285sl92Zc3bm/D7JyZzbDs/Dmf3vr+fMnFlL15VXkhnoD9b195MdGCAzMKBPj8miNFGa5Iltz3Hg2eNc8ckLGLxuVdwliTS9pgxJtzxxC/uH9lfdlrEMve1BkOnJ9tDb3suyrmUzgs9U0JlarpxvS+t9IYuJl8uU33yTyeHhYBoaYuLY8ZpnfrxQOO05rLOTbBh0OtavD4NQEIamAlBmYIBUd7fOAklTKhUm2X3/Mxzad4KrP3Mh669aHndJIi2hKUPSHYN3kJ/ITwecyqDTkenQH7pFyCcmmBwZYXJomMnhISaHhylPB5/ht0LQ9DREeWiYyZGR4O7qVaS6u6cDTsfg4PT8dAjq7yfTP0C6W58Mk9ZVHJ/g8fv+wWv/GebaW97F2suXxV2SSMtoypB0/XnXx11CIrk7XijMPLMzFXKGhqbDzXQAqgg/5dHR2k9sRqq3l/SSJdNT28qVwXxfsJyq2JY55xwy/f26R5AkXv5kiV/+6GmOHRzlhtvWc8F7BuIuSaSlNGVIkrkrF4uUT56cfRobm7E8OT0/dtp+lZ/kOk06PSPoZPr7aV9zQUXA6ZsRfKamVE+PPvUl8jaNjRTZtfVpThw5yaYvXsTqi5fGXZJIy1FIitnU2RnP5ykXCvj4ePCYz1Mez+OFPOV8Ac+PB4+FYH3twBOEHD85xuTYGJSqfL9dFZbNkurqmjGle3vJLlv21rrOzmB9Tzfpvr6KMzx9pPuWkOrq0qVOkQiMniiwc8teRt/Ic+Mdl7By3dlxlyTSkhSSQj4xgReLeLFIuViEUolysYgXS8H6UjhfCvfJ5/F8gXJ+PHgs5PHxfPBYGWYKM/fzfD782fx0GJqXTCYML52ku7pIdQZBJjMwMDPshMFm5hSGnYp9TDcyFGkKI8fG2bllL+OjJT525yDnrumLuySRljWnkGRmm4CtQBrY7u7fb2hVZzD06GNMHD0ShpgiXgqDzFSgmbEuDDWlyvUzt3mpBOXqN3x8W7JZUu3tWC5HKpfDcu2k2nNYR450dw+2tP+09an23Mz9cxXL7TlSHeFjrh3LdQSPHR26O7NIAg0dGWPnlr2UCpNsvmsD71jdG3dJIi3tjCHJzNLAfcD1wCFgj5ntcvcXGl1cLW/89KcU9u0DM6ytDctmg8fpKYtlg8dUti04a9J2VpX9pn42WJ+asW5qvsa+1UJMRifmRKQxjh8eZefWp8Gdj391A0tX9MRdkkjLm8tf9cuA/e7+EoCZPQxsBmILSdl7H4CSQyrNmd4CU4fzQ6ebAEbDiTIwFk4iIvVXzE/yx1/8m3TGuOnuSzl7mW5rIRKFuYSk5cDBiuVDwHtP3cnMbgduB1i1qrF3ev3TzgMcPzTLR8pFRFpMz9k5Nt89yJJ+3fpCJCp1uz7k7tuAbQAbN26sfve/Ornh1nczWWrIOSIRkUVpyUAHbTld0heJ0lx+4w4DKyuWV4TrYqNTzSIiItJoc/lG1j3AGjNbbWZtwM3ArsaWJSIiIhKvM55JcvcJM/sy8GuCWwA86O7PN7wyERERkRjN6QK3u+8Gdje4FhEREZFFYy6X20REREQSRyFJREREpAqFJBEREZEqFJJEREREqlBIEhEREalCIUlERESkCoUkERERkSrMvf5fs2ZmrwMH6v7EMy0FjjX4v7FYJbl3SHb/Se4dkt2/ek+uJPcfVe/nuXv/qSsbEpKiYGZPufvGuOuIQ5J7h2T3n+TeIdn9q/dk9g7J7j/u3nW5TURERKQKhSQRERGRKpo5JG2Lu4AYJbl3SHb/Se4dkt2/ek+uJPcfa+9N+54kERERkUZq5jNJIiIiIg2z6EKSmT1oZkfN7Lka29ea2Z/NrGBm95yybZOZ/dPM9pvZN6OpuH7m27uZrTSz35nZC2b2vJndFV3V9bOQYx9uT5vZXjN7vPHV1tcCX/d9ZvaIme0zsxfN7H3RVF0/C+z/7vB1/5yZPWRmuWiqro859P5ZM3vGzJ41syfN7JKKba0+5lXtPUFjXs1jH25v5TFvttd9ZGPeogtJwA5g0yzb3wDuBH5QudLM0sB9wIeBdcCnzWxdg2pslB3Mo3dgAviau68DLge+1IS9w/z7n3IX8GKda4rKDubf+1bgCXdfC1xCc/4/2MH8fu+Xh+s3uvt6IA3c3KAaG2UHs/f+MnC1u18E3Ev4Ho2EjHlVeyc5Y16t/qe08pg3W++RjXmLLiS5++8JBsRa24+6+x6gdMqmy4D97v6SuxeBh4HNjau0/ubbu7u/6u5/D+ffJHjBLG9krY2wgGOPma0APgpsb1yFjTPf3s1sCXAV8ONwv6K7DzWw1IZYyLEHMkCHmWWATuB/jamyMebQ+5PufiJc/AuwIpxPwphXtfcEjXm1jn0SxryqvUc95i26kLQAy4GDFcuHaMJfmoUys/OBDcBfYy4laluArwPlmOuI2mrgdeAn4Wn37WbWFXdRUXH3wwRnl14BXgWG3f038VbVULcCvwrnkzbmVfY+LUFj3qn9byE5Y15l75GOea0UkhLPzLqBR4GvuPtI3PVExcxuBI66+9/iriUGGeBS4H533wCcBJruvSnzZWZnEZw9WQ2cC3SZ2efiraoxzOyDBH8svhF3LVGr1XtSxrxT+0/SmFfl2Ec65rVSSDoMrKxYXhGuSwQzyxIMFj9398firidiVwA3mdl/CS45fMjMfhZvSZE5BBxy96l/RT9CMIAkxXXAy+7+uruXgMeA98dcU92Z2cUEl1U2u/vxcHUixrwavSdmzKvRfyLGvBq9RzrmtVJI2gOsMbPVZtZG8ObNXTHXFAkzM4Lrsy+6+w/jridq7v4td1/h7ucTHPffuntLnk04lbu/Bhw0swvDVdcCL8RYUtReAS43s87w9+BamveNrFWZ2SqC8Pd5d/9XxaaWH/Nq9Z6UMa9W/0kY82bpPdIxb9HdTNLMHgKuIfjm3yPAd4AsgLs/YGbvBJ4CegmuxY4C69x9xMw+QnCdNg086O7fi7yBBZhv78DFwB+AZ3nr+vS33X13lPUv1EKOfcVzXAPc4+43Rln7Qi3wdT9I8K+tNuAl4AsVb3hsCgvs/7vApwg+8bQXuM3dC5E3MU9z6H078AngQPgjE1Nf+JmAMa9q72b2AZIx5tU89hXPcQ2tOebN9rofJKIxb9GFJBEREZHFoJUut4mIiIjUjUKSiIiISBUKSSIiIiJVKCSJiIiIVKGQJCIiIlKFQpKIiIhIFQpJIiIiIlUoJImIiIhU8X/a5BOFNzjD6gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "unbumped_vols = pd.DataFrame({t: {s: v[0].result() for s, v in i.items()} for t, i in call_res.items()})\n",
    "unbumped_vols.plot(title='MtM Sensitivity to Spot at Different Points in Time', figsize=(10, 5))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:title={'center':'MtM Sensitivity to Volatility Changes in 3 Months'}>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "tenor_3m = pd.DataFrame({s: {b: r.result() for b, r in v.items()} for s, v in call_res['3m'].items()}).T\n",
    "tenor_3m.plot(title='MtM Sensitivity to Volatility Changes in 3 Months', figsize=(10, 5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can see above, with vol and/or spot higher, our call option's mark-to-market increases. We can use the prevaling option mtm to secure a rate on the forward - let's look at this next."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5 - Restructuring into a Forward\n",
    "\n",
    "Now that we understand how the mark-to-market of the option may evolve into the future, let's analyze how this option (including the premium payable) can be restructured into a forward once the company get clarity on moving forward with the deal.\n",
    "\n",
    "Specifically, let's assume there is clarity in 3 months and look at possible economics of unwinding the option after 3 months and using the mtm to finance a forward for the remaining 9 months.\n",
    "\n",
    "As a first step, let's define our `FXForward` and calculate the implied forward rate for the 9-month remaining tenor at different spot levels using the `MarketDataShockBasedScenario`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "from gs_quant.instrument import FXForward\n",
    "\n",
    "passed_time, remaining_time = '3m', '9m'\n",
    "fxforward = FXForward(pair='EURUSD', settlement_date=remaining_time, notional_amount=100e6)\n",
    "forward_res = {}\n",
    "with PricingContext(market_data_location='NYC', is_batch=True):\n",
    "    for s in spot_range:\n",
    "        spot_scen = MarketDataShockBasedScenario(shocks={MarketDataPattern('FX', 'USD/EUR'): MarketDataShock(MarketDataShockType.Override, s),})\n",
    "        with spot_scen:\n",
    "            inst = fxforward.resolve(in_place=False)\n",
    "        forward_res[s] = inst\n",
    "forward_rates = pd.DataFrame({s: {'Forward Rate':  forward_res[s].result().forward_rate,\n",
    "                                 'Option MTM ($)': call_res[passed_time][s][0].result()} for s in spot_range}).T"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can now calculate the adjustment to the forward rate based on the 3m in option mtm we calculated in the previous section (adjusting for the premium) and the above forward rate and examine how the achieved all-in rate on the forward may look like after the restructuring. \n",
    "\n",
    "Note two things here: (1) the premium payment for the option has been embedded into the new forward so the full structure is net zero premium (2) the below is an approximation that would work less well for currencies that have high carry, we are working on adding a forward rate solver to give a more precise answer."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "forward_rates['Forward Rate Adjustment'] = -1 * (forward_rates['Option MTM ($)'] - call_option.dollar_price()) / 100e6\n",
    "forward_rates['All-In Rate'] = forward_rates['Forward Rate'] + forward_rates['Forward Rate Adjustment']\n",
    "forward_rates[['Forward Rate', 'All-In Rate']].plot(title='Forward Rate Post Option Restructuring', figsize=(10, 6))  \n",
    "plt.xlabel('Prevailing EURUSD Spot in 3 Months')\n",
    "plt.ylabel('Estimated Forward Rate')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can see above, if the USD weakens vs EUR in 3 months time, the all-in rate will be lower (better) than the equivalent on-market forward - this is due to the EURUSD call option protection. However, if the dollar strenthens, the all-in rate will be higher (worse) than the on-market forward due to the premium payable for the option."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### What's New\n",
    "* Ability to overwrite market data used in a risk request - example [here](https://nbviewer.jupyter.org/github/goldmansachs/gs-quant/blob/master/gs_quant/documentation/02_pricing_and_risk/00_instruments_and_measures/examples/00_instrument_basics/0005_market-data.ipynb)\n",
    "* Restructuring of all notebooks into [documentation](https://nbviewer.jupyter.org/github/goldmansachs/gs-quant/tree/master/gs_quant/documentation/) and [content](https://nbviewer.jupyter.org/github/goldmansachs/gs-quant/tree/master/gs_quant/content/)\n",
    "* Ability to use polling instead of websockets for batch mode (allowing python 3.6.0 support and cases where websockets may have firewall issues)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
